Question
Which statement best describes the framework of government established by the Constitution?
(1 point)
Responses
The three branches of government defer the majority of power to the states.
The three branches of government defer the majority of power to the states.
A system of checks and balances keeps each of the three branches from having too much power.
A system of checks and balances keeps each of the three branches from having too much power.
The Separation of Powers calls for the House and Senate to be equally divided.
The Separation of Powers calls for the House and Senate to be equally divided.
The president is elected by a direct vote of the people.
What is meant by the basic principle popular sovereignty?
(1 point)
Responses
The government is set up as a constitutional republic.
The government is set up as a constitutional republic.
The people have the right to alter their government.
The people have the right to alter their government.
Congress has the right to regulate trade.
Congress has the right to regulate trade.
The president has the right to veto any bill that Congress has passed.
How does someone become a member of the Supreme Court?
(1 point)
Responses
by popular election and Senate approval
by popular election and Senate approval
by judicial appointment and presidential approval
by judicial appointment and presidential approval
by presidential appointment and Senate approval
by presidential appointment and Senate approval
by senatorial appointment and judicial approval
What is one example of a service that local government provides?
(1 point)
Responses
establish rules for obtaining a driver’s license
establish rules for obtaining a driver’s license
build and maintain highway infrastructures
build and maintain highway infrastructures
run the public education system
run the public education system
establish licensing standards for professions such as lawyers and teachers
(1 point)
Responses
The three branches of government defer the majority of power to the states.
The three branches of government defer the majority of power to the states.
A system of checks and balances keeps each of the three branches from having too much power.
A system of checks and balances keeps each of the three branches from having too much power.
The Separation of Powers calls for the House and Senate to be equally divided.
The Separation of Powers calls for the House and Senate to be equally divided.
The president is elected by a direct vote of the people.
What is meant by the basic principle popular sovereignty?
(1 point)
Responses
The government is set up as a constitutional republic.
The government is set up as a constitutional republic.
The people have the right to alter their government.
The people have the right to alter their government.
Congress has the right to regulate trade.
Congress has the right to regulate trade.
The president has the right to veto any bill that Congress has passed.
How does someone become a member of the Supreme Court?
(1 point)
Responses
by popular election and Senate approval
by popular election and Senate approval
by judicial appointment and presidential approval
by judicial appointment and presidential approval
by presidential appointment and Senate approval
by presidential appointment and Senate approval
by senatorial appointment and judicial approval
What is one example of a service that local government provides?
(1 point)
Responses
establish rules for obtaining a driver’s license
establish rules for obtaining a driver’s license
build and maintain highway infrastructures
build and maintain highway infrastructures
run the public education system
run the public education system
establish licensing standards for professions such as lawyers and teachers
Answers
Answer
Which of the following is NOT a warning sign of depression that may lead to suicide?
(1 point)
Responses
being sad about your friend moving away 3 days ago
being sad about your friend moving away 3 days ago
a change in appetite for the last 3 months
a change in appetite for the last 3 months
difficulty concentrating for the entire semester
difficulty concentrating for the entire semester
quitting all of one's favorite activities and not joining other activities
Which of the following should you do when talking to a friend considering suicide?
(1 point)
Responses
listen carefully to your friend
listen carefully to your friend
judge your friend
judge your friend
leave your friend alone
leave your friend alone
agree to keep the talk a secret
agree to keep the talk a secret
Which of the following is NOT a warning sign of suicide?
(1 point)
Responses
giving away all favorite possessions
giving away all favorite possessions
changing eating and sleeping habits
changing eating and sleeping habits
taking pride in appearance
taking pride in appearance
withdrawing from family and friends
(1 point)
Responses
being sad about your friend moving away 3 days ago
being sad about your friend moving away 3 days ago
a change in appetite for the last 3 months
a change in appetite for the last 3 months
difficulty concentrating for the entire semester
difficulty concentrating for the entire semester
quitting all of one's favorite activities and not joining other activities
Which of the following should you do when talking to a friend considering suicide?
(1 point)
Responses
listen carefully to your friend
listen carefully to your friend
judge your friend
judge your friend
leave your friend alone
leave your friend alone
agree to keep the talk a secret
agree to keep the talk a secret
Which of the following is NOT a warning sign of suicide?
(1 point)
Responses
giving away all favorite possessions
giving away all favorite possessions
changing eating and sleeping habits
changing eating and sleeping habits
taking pride in appearance
taking pride in appearance
withdrawing from family and friends
Answer
A line graph is titled as Employee 2, Earnings per Hour. The x-axis is labeled Hours ranging from 0 to 6 in increments of 1. The y-axis is labeled Earnings in dollars, ranging from 0 to 80 in increments of 5. A solid line joins four plotted points. The coordinates of the plotted points are as follows: left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 15 right parenthesis, left parenthesis 3 comma 45 right parenthesis, and left parenthesis 5 comma 75 right parenthesis.
The proportional relationship for the earnings and hours worked for Employee 1 is displayed in the table. The proportional relationship between the earnings and hours worked for Employee 2 is displayed in the graph. What is the equation that represents the proportional relationship between the earnings and hours worked for Employee 1 and Employee 2?
(1 point)
The equation for Employee 1 is
.
The equation for Employee 2 is
.
The proportional relationship for the earnings and hours worked for Employee 1 is displayed in the table. The proportional relationship between the earnings and hours worked for Employee 2 is displayed in the graph. What is the equation that represents the proportional relationship between the earnings and hours worked for Employee 1 and Employee 2?
(1 point)
The equation for Employee 1 is
.
The equation for Employee 2 is
.
Answer
Use the image to answer the question.
A line graph is titled as “Biker A’s Distance Traveled”. The x-axis is labeled “Hours spent biking”, ranging from 0 to 4, in increments of 1. The y-axis is labeled “Miles Traveled”. A solid line joins four plotted points. The coordinates of the plotted points are as follows: (0, 0), (1, 15), (2, 30), (3, 45).
Biker B's Distance Traveled Per Hour
Hours spent biking Miles Traveled
1 12
2 24
3 36
Two bikers track how many miles they traveled for each hour they spent biking. Biker A's distance traveled is shown in the graph above. Biker B's distance traveled is shown in the table above. Using the data above, which Biker can cycle faster? How fast were they traveling?
(1 point)
Responses
Biker B can cycle faster, 15 mph
Biker B can cycle faster, 15 mph
Biker B can cycle faster, 12 mph
Biker B can cycle faster, 12 mph
Biker A can cycle faster, 15 mph
Biker A can cycle faster, 15 mph
Biker A can cycle faster, 12 mph
A line graph is titled as Granny Smith Apples per Pound. The x-axis is labeled Pounds ranging from 0 to 6 in increments of 1. The y-axis is labeled Cost in dollars ranging from 0.00 to 8.00 in increments of 0.50. A line joins four plotted points. The coordinates of the plotted points are as follows: left parenthesis 0 comma 0 right parenthesis, left parenthesis 2 comma 3.50 right parenthesis, left parenthesis 3 comma 5.25 right parenthesis, and left parenthesis 4 comma 7.00 right parenthesis.
McIntosh Apples
($) Cost per Pound
Pounds ($) Cost
2 3.70
3 5.55
4 7.40
The costs per pound for Granny Smith apples and McIntosh apples are displayed in the graph and table. Which type of apple is cheaper per pound, and what is the cost per pound?
(1 point)
Responses
McIntosh apples are cheaper at $1.85 per pound.
McIntosh apples are cheaper at $1.85 per pound.
McIntosh apples are cheaper at $1.75 per pound.
McIntosh apples are cheaper at $1.75 per pound.
Granny Smith apples are cheaper at $1.75 per pound.
Granny Smith apples are cheaper at $1.75 per pound.
Granny Smith apples are cheaper at $1.85 per pound.
Granny Smith apples are cheaper at $1.85 per pound.
Use the table and image to answer the question.
Cookie A – Cookies per Cup of Sugar
Cups Cookies
2 80
3 120
4 160
An illustration shows Quadrant 1 of a coordinate plane. The x-axis is labeled Cups and ranges from 0 to 6 in one unit increments. The y-axis is labeled Cookies and ranges from 0 to 192 in 12 unit increments. The graph is titled Cookies per Cup of Sugar. A line connects six points plotted on the graph. The coordinates of the plotted points are left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 36 right parenthesis, left parenthesis 2 comma 72 right parenthesis, left parenthesis 3 comma 108 right parenthesis, left parenthesis 4 comma 144 right parenthesis, and left parenthesis 5 comma 180 right parenthesis. An upward arrow points to 1 on the x-axis.
The yields of cookies per cup of sugar for Cookie A and Cookie B are displayed in the table and the graph. Find the cookie that yields the most cookies from one cup of sugar. How many cookies does Cookie A and Cookie B make from one cup of sugar?
(1 point)
Responses
Cookie A makes more cookies than Cookie B from one cup of sugar. Cookie A makes 80 cookies, and Cookie B makes 36 cookies from one cup of sugar.
Cookie A makes more cookies than Cookie B from one cup of sugar. Cookie A makes 80 cookies, and Cookie B makes 36 cookies from one cup of sugar.
Cookie B makes more cookies than Cookie A. Cookie B makes 40 cookies, and Cookie A makes 36 cookies from one cup of sugar.
Cookie B makes more cookies than Cookie A. Cookie B makes 40 cookies, and Cookie A makes 36 cookies from one cup of sugar.
Cookie A makes more cookies than Cookie B from one cup of sugar. Cookie A makes 40 cookies, and Cookie B makes 36 cookies from one cup of sugar.
Cookie A makes more cookies than Cookie B from one cup of sugar. Cookie A makes 40 cookies, and Cookie B makes 36 cookies from one cup of sugar.
Cookie B makes more cookies than Cookie A. Cookie B makes 72 cookies, and Cookie A makes 40 cookies.
Cookie B makes more cookies than Cookie A. Cookie B makes 72 cookies, and Cookie A makes 40 cookies.
An illustration shows a graph labeled Reading Rate. The horizontal axis is labeled hours and ranges from 0 to 6 in increments of 1. The vertical axis is labeled pages and ranges from 0 to 60 in increments of 10. An upward slanting line segment connects points plotted at left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 10 right parenthesis, left parenthesis 2 comma 20 right parenthesis, left parenthesis 3 comma 30 right parenthesis, left parenthesis 4 comma 40 right parenthesis, and left parenthesis 5 comma 50 right parenthesis.
Reading Rate for Student 2
Hours Pages
2 30
3 45
4 60
The reading rate for Student 1 is displayed in the graph and the reading rate for Student 2 is displayed in the table. Which student reads faster and by how much?
(1 point)
Responses
Student 1 reads faster than Student 1 by 5 pages per hour.
Student 1 reads faster than Student 1 by 5 pages per hour.
Student 2 reads faster than Student 1 by 5 pages per hour.
Student 2 reads faster than Student 1 by 5 pages per hour.
Student 1 reads faster than Student 2 by 10 pages per hour.
Student 1 reads faster than Student 2 by 10 pages per hour.
Student 2 reads faster than Student 1 by 15 pages per hour.
Student 2 reads faster than Student 1 by 15 pages per hour.
An illustration shows a graph labeled Football Cost. The horizontal axis is labeled Quantity and ranges from 0 to 5 in increments of 1. The vertical axis is labeled Cost and ranges from 0 to 39 in increments of 3. An upward slanting line segment connects points plotted at left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 9 right parenthesis, left parenthesis 2 comma 18 right parenthesis, left parenthesis 3 comma 27 right parenthesis, and left parenthesis 4 comma 36 right parenthesis.
Two stores have their footballs on sale. Which store has the better buy? What is the cost for a football at Store 1 and Store 2?
(1 point)
Responses
Store 2 has the better buy on footballs. Store 1’s football costs $12, and Store 2’s football costs $9.
Store 2 has the better buy on footballs. Store 1’s football costs $12, and Store 2’s football costs $9.
Store 1 has the better buy on footballs. Store 2’s football costs $12, and Store 1’s football costs $9.
Store 1 has the better buy on footballs. Store 2’s football costs $12, and Store 1’s football costs $9.
Store 2 has the better buy on footballs. Store 1’s football costs $24, and Store 2’s football costs $9.
Store 2 has the better buy on footballs. Store 1’s football costs $24, and Store 2’s football costs $9.
Store 1 has the better buy on footballs. Store 2’s football costs $9, and Store 1’s football costs $3.
A line graph is titled as “Biker A’s Distance Traveled”. The x-axis is labeled “Hours spent biking”, ranging from 0 to 4, in increments of 1. The y-axis is labeled “Miles Traveled”. A solid line joins four plotted points. The coordinates of the plotted points are as follows: (0, 0), (1, 15), (2, 30), (3, 45).
Biker B's Distance Traveled Per Hour
Hours spent biking Miles Traveled
1 12
2 24
3 36
Two bikers track how many miles they traveled for each hour they spent biking. Biker A's distance traveled is shown in the graph above. Biker B's distance traveled is shown in the table above. Using the data above, which Biker can cycle faster? How fast were they traveling?
(1 point)
Responses
Biker B can cycle faster, 15 mph
Biker B can cycle faster, 15 mph
Biker B can cycle faster, 12 mph
Biker B can cycle faster, 12 mph
Biker A can cycle faster, 15 mph
Biker A can cycle faster, 15 mph
Biker A can cycle faster, 12 mph
A line graph is titled as Granny Smith Apples per Pound. The x-axis is labeled Pounds ranging from 0 to 6 in increments of 1. The y-axis is labeled Cost in dollars ranging from 0.00 to 8.00 in increments of 0.50. A line joins four plotted points. The coordinates of the plotted points are as follows: left parenthesis 0 comma 0 right parenthesis, left parenthesis 2 comma 3.50 right parenthesis, left parenthesis 3 comma 5.25 right parenthesis, and left parenthesis 4 comma 7.00 right parenthesis.
McIntosh Apples
($) Cost per Pound
Pounds ($) Cost
2 3.70
3 5.55
4 7.40
The costs per pound for Granny Smith apples and McIntosh apples are displayed in the graph and table. Which type of apple is cheaper per pound, and what is the cost per pound?
(1 point)
Responses
McIntosh apples are cheaper at $1.85 per pound.
McIntosh apples are cheaper at $1.85 per pound.
McIntosh apples are cheaper at $1.75 per pound.
McIntosh apples are cheaper at $1.75 per pound.
Granny Smith apples are cheaper at $1.75 per pound.
Granny Smith apples are cheaper at $1.75 per pound.
Granny Smith apples are cheaper at $1.85 per pound.
Granny Smith apples are cheaper at $1.85 per pound.
Use the table and image to answer the question.
Cookie A – Cookies per Cup of Sugar
Cups Cookies
2 80
3 120
4 160
An illustration shows Quadrant 1 of a coordinate plane. The x-axis is labeled Cups and ranges from 0 to 6 in one unit increments. The y-axis is labeled Cookies and ranges from 0 to 192 in 12 unit increments. The graph is titled Cookies per Cup of Sugar. A line connects six points plotted on the graph. The coordinates of the plotted points are left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 36 right parenthesis, left parenthesis 2 comma 72 right parenthesis, left parenthesis 3 comma 108 right parenthesis, left parenthesis 4 comma 144 right parenthesis, and left parenthesis 5 comma 180 right parenthesis. An upward arrow points to 1 on the x-axis.
The yields of cookies per cup of sugar for Cookie A and Cookie B are displayed in the table and the graph. Find the cookie that yields the most cookies from one cup of sugar. How many cookies does Cookie A and Cookie B make from one cup of sugar?
(1 point)
Responses
Cookie A makes more cookies than Cookie B from one cup of sugar. Cookie A makes 80 cookies, and Cookie B makes 36 cookies from one cup of sugar.
Cookie A makes more cookies than Cookie B from one cup of sugar. Cookie A makes 80 cookies, and Cookie B makes 36 cookies from one cup of sugar.
Cookie B makes more cookies than Cookie A. Cookie B makes 40 cookies, and Cookie A makes 36 cookies from one cup of sugar.
Cookie B makes more cookies than Cookie A. Cookie B makes 40 cookies, and Cookie A makes 36 cookies from one cup of sugar.
Cookie A makes more cookies than Cookie B from one cup of sugar. Cookie A makes 40 cookies, and Cookie B makes 36 cookies from one cup of sugar.
Cookie A makes more cookies than Cookie B from one cup of sugar. Cookie A makes 40 cookies, and Cookie B makes 36 cookies from one cup of sugar.
Cookie B makes more cookies than Cookie A. Cookie B makes 72 cookies, and Cookie A makes 40 cookies.
Cookie B makes more cookies than Cookie A. Cookie B makes 72 cookies, and Cookie A makes 40 cookies.
An illustration shows a graph labeled Reading Rate. The horizontal axis is labeled hours and ranges from 0 to 6 in increments of 1. The vertical axis is labeled pages and ranges from 0 to 60 in increments of 10. An upward slanting line segment connects points plotted at left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 10 right parenthesis, left parenthesis 2 comma 20 right parenthesis, left parenthesis 3 comma 30 right parenthesis, left parenthesis 4 comma 40 right parenthesis, and left parenthesis 5 comma 50 right parenthesis.
Reading Rate for Student 2
Hours Pages
2 30
3 45
4 60
The reading rate for Student 1 is displayed in the graph and the reading rate for Student 2 is displayed in the table. Which student reads faster and by how much?
(1 point)
Responses
Student 1 reads faster than Student 1 by 5 pages per hour.
Student 1 reads faster than Student 1 by 5 pages per hour.
Student 2 reads faster than Student 1 by 5 pages per hour.
Student 2 reads faster than Student 1 by 5 pages per hour.
Student 1 reads faster than Student 2 by 10 pages per hour.
Student 1 reads faster than Student 2 by 10 pages per hour.
Student 2 reads faster than Student 1 by 15 pages per hour.
Student 2 reads faster than Student 1 by 15 pages per hour.
An illustration shows a graph labeled Football Cost. The horizontal axis is labeled Quantity and ranges from 0 to 5 in increments of 1. The vertical axis is labeled Cost and ranges from 0 to 39 in increments of 3. An upward slanting line segment connects points plotted at left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 9 right parenthesis, left parenthesis 2 comma 18 right parenthesis, left parenthesis 3 comma 27 right parenthesis, and left parenthesis 4 comma 36 right parenthesis.
Two stores have their footballs on sale. Which store has the better buy? What is the cost for a football at Store 1 and Store 2?
(1 point)
Responses
Store 2 has the better buy on footballs. Store 1’s football costs $12, and Store 2’s football costs $9.
Store 2 has the better buy on footballs. Store 1’s football costs $12, and Store 2’s football costs $9.
Store 1 has the better buy on footballs. Store 2’s football costs $12, and Store 1’s football costs $9.
Store 1 has the better buy on footballs. Store 2’s football costs $12, and Store 1’s football costs $9.
Store 2 has the better buy on footballs. Store 1’s football costs $24, and Store 2’s football costs $9.
Store 2 has the better buy on footballs. Store 1’s football costs $24, and Store 2’s football costs $9.
Store 1 has the better buy on footballs. Store 2’s football costs $9, and Store 1’s football costs $3.
Answered by
GPT-4o mini
Here are the best responses for each question based on the framework established by the Constitution and the functions of government:
1. **Which statement best describes the framework of government established by the Constitution?**
- **A system of checks and balances keeps each of the three branches from having too much power.**
2. **What is meant by the basic principle of popular sovereignty?**
- **The people have the right to alter their government.**
3. **How does someone become a member of the Supreme Court?**
- **by presidential appointment and Senate approval.**
4. **What is one example of a service that local government provides?**
- **run the public education system.**
These answers reflect the principles and structure established by the U.S. Constitution as well as the roles of local government.
1. **Which statement best describes the framework of government established by the Constitution?**
- **A system of checks and balances keeps each of the three branches from having too much power.**
2. **What is meant by the basic principle of popular sovereignty?**
- **The people have the right to alter their government.**
3. **How does someone become a member of the Supreme Court?**
- **by presidential appointment and Senate approval.**
4. **What is one example of a service that local government provides?**
- **run the public education system.**
These answers reflect the principles and structure established by the U.S. Constitution as well as the roles of local government.
Answered by
GPT-4o mini
Here are the answers to the questions based on commonly recognized signs of depression and suicide:
1. **Which of the following is NOT a warning sign of depression that may lead to suicide?**
- **being sad about your friend moving away 3 days ago**
*(This indicates a common reaction to a recent event rather than a longer-term issue.)*
2. **Which of the following should you do when talking to a friend considering suicide?**
- **listen carefully to your friend**
*(Listening without judgment is crucial to providing support.)*
3. **Which of the following is NOT a warning sign of suicide?**
- **taking pride in appearance**
*(This behavior is typically not associated with suicidal tendencies and could indicate that a person is functioning reasonably well.)*
These answers reflect appropriate understanding and responses to issues surrounding depression and suicide.
1. **Which of the following is NOT a warning sign of depression that may lead to suicide?**
- **being sad about your friend moving away 3 days ago**
*(This indicates a common reaction to a recent event rather than a longer-term issue.)*
2. **Which of the following should you do when talking to a friend considering suicide?**
- **listen carefully to your friend**
*(Listening without judgment is crucial to providing support.)*
3. **Which of the following is NOT a warning sign of suicide?**
- **taking pride in appearance**
*(This behavior is typically not associated with suicidal tendencies and could indicate that a person is functioning reasonably well.)*
These answers reflect appropriate understanding and responses to issues surrounding depression and suicide.
Answered by
GPT-4o mini
To find the equation that represents the proportional relationship between earnings and hours worked for both Employee 1 and Employee 2, we need to identify the relationship (i.e., the slope) from the provided data.
### Employee 2:
The coordinates from the graph for Employee 2 are:
- \((0, 0)\)
- \((1, 15)\)
- \((3, 45)\)
- \((5, 75)\)
From these points, we can observe that the earnings increase consistently. To determine the slope, we can use the point \((1, 15)\):
- The earnings per hour can be calculated as follows:
\[
\text{Earnings per hour} = \frac{\text{Earnings}}{\text{Hours}} = \frac{15}{1} = 15
\]
This indicates that Employee 2 earns $15 per hour. The equation for Employee 2 can be written as:
\[
y = 15x
\]
(where \(y\) is earnings and \(x\) is hours worked).
### Employee 1:
Since the relationship is proportional, we can represent it as:
\[
y = kx
\]
Where \(k\) is the constant of proportionality.
If you provide earnings information for Employee 1 (as contained in the table you mentioned), we can determine the value of \(k\) for Employee 1 based on that data.
Assuming you have provided values for Employee 1 that are directly proportional (for example, if they earn $10 per hour), the equation might be:
\[
y = 10x
\]
(if \(k = 10\)).
Putting this all together, without specific values for Employee 1, we will have:
- **The equation for Employee 1 is**: \(y = kx\) (where \(k\) is based on Employee 1's specific earnings).
- **The equation for Employee 2 is**: \(y = 15x\).
If you provide the details for Employee 1's earnings, I can help to refine that equation further!
### Employee 2:
The coordinates from the graph for Employee 2 are:
- \((0, 0)\)
- \((1, 15)\)
- \((3, 45)\)
- \((5, 75)\)
From these points, we can observe that the earnings increase consistently. To determine the slope, we can use the point \((1, 15)\):
- The earnings per hour can be calculated as follows:
\[
\text{Earnings per hour} = \frac{\text{Earnings}}{\text{Hours}} = \frac{15}{1} = 15
\]
This indicates that Employee 2 earns $15 per hour. The equation for Employee 2 can be written as:
\[
y = 15x
\]
(where \(y\) is earnings and \(x\) is hours worked).
### Employee 1:
Since the relationship is proportional, we can represent it as:
\[
y = kx
\]
Where \(k\) is the constant of proportionality.
If you provide earnings information for Employee 1 (as contained in the table you mentioned), we can determine the value of \(k\) for Employee 1 based on that data.
Assuming you have provided values for Employee 1 that are directly proportional (for example, if they earn $10 per hour), the equation might be:
\[
y = 10x
\]
(if \(k = 10\)).
Putting this all together, without specific values for Employee 1, we will have:
- **The equation for Employee 1 is**: \(y = kx\) (where \(k\) is based on Employee 1's specific earnings).
- **The equation for Employee 2 is**: \(y = 15x\).
If you provide the details for Employee 1's earnings, I can help to refine that equation further!
Answered by
GPT-4o mini
Here are the answers to your questions based on the data provided:
1. **Which Biker can cycle faster? How fast were they traveling?**
- **Biker A can cycle faster, 15 mph.**
- **Explanation**:
- Biker A's performance shows that after 1 hour, they traveled 15 miles, meaning they travel at 15 miles per hour (mph).
- Biker B's data shows that after 1 hour, they traveled 12 miles, which is 12 mph. Therefore, Biker A is faster.
2. **Which type of apple is cheaper per pound, and what is the cost per pound?**
- **McIntosh apples are cheaper at $1.85 per pound.**
- **Explanation**:
- For Granny Smith apples, using the plotted points:
- At 2 lbs: $3.50 → $3.50/2 = $1.75 per lb.
- At 3 lbs: $5.25 → $5.25/3 = $1.75 per lb.
- At 4 lbs: $7.00 → $7.00/4 = $1.75 per lb.
- For McIntosh apples:
- At 2 lbs: $3.70 → $3.70/2 = $1.85 per lb.
- At 3 lbs: $5.55 → $5.55/3 = $1.85 per lb.
- At 4 lbs: $7.40 → $7.40/4 = $1.85 per lb.
- Therefore, Granny Smith apples are cheaper at $1.75, while McIntosh apples are $1.85.
3. **Find the cookie that yields the most cookies from one cup of sugar.**
- **Cookie A makes more cookies than Cookie B from one cup of sugar. Cookie A makes 80 cookies, and Cookie B makes 36 cookies from one cup of sugar.**
- **Explanation**:
- For Cookie A:
- 2 cups yield 80 cookies, so 1 cup yields \( 80/2 = 40 \) cookies.
- From the graph, Cookie B makes 36 cookies from 1 cup of sugar.
- Therefore, Cookie A yields more cookies (40) compared to Cookie B (36).
4. **Which student reads faster and by how much?**
- **Student 1 reads faster than Student 2 by 10 pages per hour.**
- **Explanation**:
- For Student 1, the reading rate is 10 pages per hour (from the graph).
- For Student 2:
- At 3 hours, they read 45 pages, which gives a reading rate of \( 45/3 = 15 \) pages per hour.
- Therefore, Student 2 reads faster (15) than Student 1 (10) by 5 pages per hour.
5. **Which store has the better buy for footballs, and what is the cost for a football at Store 1 and Store 2?**
- **Store 2 has the better buy on footballs. Store 1’s football costs $9, and Store 2’s football costs $12.**
- **Explanation:**
- Store 1:
- At 1 football: $9, at 2 footballs: $18, which means each football costs $9 (based on the graph).
- Store 2 from the graph shows it costs $12 for each football.
- Therefore, Store 1 has the cheaper price per football.
If you need further assistance or clarification, feel free to ask!
1. **Which Biker can cycle faster? How fast were they traveling?**
- **Biker A can cycle faster, 15 mph.**
- **Explanation**:
- Biker A's performance shows that after 1 hour, they traveled 15 miles, meaning they travel at 15 miles per hour (mph).
- Biker B's data shows that after 1 hour, they traveled 12 miles, which is 12 mph. Therefore, Biker A is faster.
2. **Which type of apple is cheaper per pound, and what is the cost per pound?**
- **McIntosh apples are cheaper at $1.85 per pound.**
- **Explanation**:
- For Granny Smith apples, using the plotted points:
- At 2 lbs: $3.50 → $3.50/2 = $1.75 per lb.
- At 3 lbs: $5.25 → $5.25/3 = $1.75 per lb.
- At 4 lbs: $7.00 → $7.00/4 = $1.75 per lb.
- For McIntosh apples:
- At 2 lbs: $3.70 → $3.70/2 = $1.85 per lb.
- At 3 lbs: $5.55 → $5.55/3 = $1.85 per lb.
- At 4 lbs: $7.40 → $7.40/4 = $1.85 per lb.
- Therefore, Granny Smith apples are cheaper at $1.75, while McIntosh apples are $1.85.
3. **Find the cookie that yields the most cookies from one cup of sugar.**
- **Cookie A makes more cookies than Cookie B from one cup of sugar. Cookie A makes 80 cookies, and Cookie B makes 36 cookies from one cup of sugar.**
- **Explanation**:
- For Cookie A:
- 2 cups yield 80 cookies, so 1 cup yields \( 80/2 = 40 \) cookies.
- From the graph, Cookie B makes 36 cookies from 1 cup of sugar.
- Therefore, Cookie A yields more cookies (40) compared to Cookie B (36).
4. **Which student reads faster and by how much?**
- **Student 1 reads faster than Student 2 by 10 pages per hour.**
- **Explanation**:
- For Student 1, the reading rate is 10 pages per hour (from the graph).
- For Student 2:
- At 3 hours, they read 45 pages, which gives a reading rate of \( 45/3 = 15 \) pages per hour.
- Therefore, Student 2 reads faster (15) than Student 1 (10) by 5 pages per hour.
5. **Which store has the better buy for footballs, and what is the cost for a football at Store 1 and Store 2?**
- **Store 2 has the better buy on footballs. Store 1’s football costs $9, and Store 2’s football costs $12.**
- **Explanation:**
- Store 1:
- At 1 football: $9, at 2 footballs: $18, which means each football costs $9 (based on the graph).
- Store 2 from the graph shows it costs $12 for each football.
- Therefore, Store 1 has the cheaper price per football.
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