Question
Question 2
A)
The chart below shows conversion between feet and inches. What are the missing values in the table?
NOTE: Type the correct numerical value into the blanks to receive credit.
(4 points)
Feet Inches
$$ 24
3 36
4 $$
5
60
Question 3
A)Jeff used the fact that a motorcycle can travel 300 miles in 4 hours to find the unit rate. If the speed limit on the highway is 65 miles per hour, is the motorcycle going faster than, slower than, or equal to the speed limit?(1 point)
Responses
Equal to
Equal to
Faster than
Faster than
Slower than
Slower than
Cannot be determined by the information provided.
Cannot be determined by the information provided.
Question 4
A)
In the map below, the path from the whales to the sharks is parallel to the path from the penguins to the fish tanks.
Set up and solve the proportion to find the distance between the penguins and the fish tank.
(3 points)
Set up the proportion: 3054=
$$
NOTE: Type the correct fraction into the box to receive credit.
Cross Multiply: 30x=
$$
NOTE: Type the correct numerical answer into the box to receive credit.
Solve for x: x=
$$ feet
NOTE: Type the correct numerical answer into the box to receive credit.
Question 5
A)
One of the rows in Harry’s table does not have the same ratio as the other rows.
Gallons Cups
Row 1 2 30
Row 2 5 85
Row 3 9 135
Row 4 12 180
Which row does not have the same ratio as the others?
(1 point)
Responses
Row 3
Row 3
Row 2
Row 2
Row 1
Row 1
Row 4
Row 4
Question 6
A)
Isaiah has $25 to spend on bowling. He has four bowling alleys to choose from, and the price each charges for a game is shown in the table.
Bowling Alley Price per Game
Alley Cats $3.97
Bowlera $5.49
Pin Can $4.22
Bowl n Skate $5.32
Which can he afford? Select the two that apply.
(2 points)
Responses
7 games at Bowlera
7 games at Bowlera
6 games at Bowl n Skate
6 games at Bowl n Skate
5 games at Pin Can
5 games at Pin Can
6 games at Alley Cat
6 games at Alley Cat
Question 7
A)Ava wrote the expression 4−12−3
to determine the slope of a line. Which table might represent Ava’s line?(1 point)
Responses
x y
4 3
2 1x y 4 3 2 1
x y
4 3
2 1x y 4 3 2 1
x y
3 1
2 4
x y 3 1 2 4
x y
3 4
-1 -2x y 3 4 -1 -2
Question 8
A)
Four students drew graphs of linear functions. Which student drew a line with a slope of 13
?
(1 point)
Responses
Charlie
Charlie
Benito
Benito
Analise
Analise
Dariya
Dariya
Question 9
A)
Megan graphed the distance, y
, traveled by 2 bikes in x
seconds.
(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Bike 1 has traveled Response area feet after 4 seconds.
Bike 2 has traveled 10 feet after Response area seconds.
If traveling a distance of 100 feet in a race, Response area would win the race.
A)
The chart below shows conversion between feet and inches. What are the missing values in the table?
NOTE: Type the correct numerical value into the blanks to receive credit.
(4 points)
Feet Inches
$$ 24
3 36
4 $$
5
60
Question 3
A)Jeff used the fact that a motorcycle can travel 300 miles in 4 hours to find the unit rate. If the speed limit on the highway is 65 miles per hour, is the motorcycle going faster than, slower than, or equal to the speed limit?(1 point)
Responses
Equal to
Equal to
Faster than
Faster than
Slower than
Slower than
Cannot be determined by the information provided.
Cannot be determined by the information provided.
Question 4
A)
In the map below, the path from the whales to the sharks is parallel to the path from the penguins to the fish tanks.
Set up and solve the proportion to find the distance between the penguins and the fish tank.
(3 points)
Set up the proportion: 3054=
$$
NOTE: Type the correct fraction into the box to receive credit.
Cross Multiply: 30x=
$$
NOTE: Type the correct numerical answer into the box to receive credit.
Solve for x: x=
$$ feet
NOTE: Type the correct numerical answer into the box to receive credit.
Question 5
A)
One of the rows in Harry’s table does not have the same ratio as the other rows.
Gallons Cups
Row 1 2 30
Row 2 5 85
Row 3 9 135
Row 4 12 180
Which row does not have the same ratio as the others?
(1 point)
Responses
Row 3
Row 3
Row 2
Row 2
Row 1
Row 1
Row 4
Row 4
Question 6
A)
Isaiah has $25 to spend on bowling. He has four bowling alleys to choose from, and the price each charges for a game is shown in the table.
Bowling Alley Price per Game
Alley Cats $3.97
Bowlera $5.49
Pin Can $4.22
Bowl n Skate $5.32
Which can he afford? Select the two that apply.
(2 points)
Responses
7 games at Bowlera
7 games at Bowlera
6 games at Bowl n Skate
6 games at Bowl n Skate
5 games at Pin Can
5 games at Pin Can
6 games at Alley Cat
6 games at Alley Cat
Question 7
A)Ava wrote the expression 4−12−3
to determine the slope of a line. Which table might represent Ava’s line?(1 point)
Responses
x y
4 3
2 1x y 4 3 2 1
x y
4 3
2 1x y 4 3 2 1
x y
3 1
2 4
x y 3 1 2 4
x y
3 4
-1 -2x y 3 4 -1 -2
Question 8
A)
Four students drew graphs of linear functions. Which student drew a line with a slope of 13
?
(1 point)
Responses
Charlie
Charlie
Benito
Benito
Analise
Analise
Dariya
Dariya
Question 9
A)
Megan graphed the distance, y
, traveled by 2 bikes in x
seconds.
(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Bike 1 has traveled Response area feet after 4 seconds.
Bike 2 has traveled 10 feet after Response area seconds.
If traveling a distance of 100 feet in a race, Response area would win the race.
Answers
Answered by
GPT-4o mini
Sure, let’s solve the questions step by step.
### Question 2
To convert feet to inches, we use the conversion factor that 1 foot equals 12 inches.
- For 1 foot, it will be 12 inches.
- For 2 feet, it will be \(2 \times 12 = 24\) inches (which is already provided).
- For 3 feet, it will be \(3 \times 12 = 36\) inches (which is already provided).
- For 4 feet, it will be \(4 \times 12 = 48\) inches.
- For 5 feet, it will be \(5 \times 12 = 60\) inches.
The missing values are:
- For the first blank: **12**
- For the second blank: **48**
- For the third blank: **60**
### Question 3
To find the unit rate, we calculate:
- \(300 \, \text{miles} \div 4 \, \text{hours} = 75 \, \text{miles per hour}\)
Since 75 miles per hour is greater than the speed limit of 65 miles per hour, the motorcycle is:
- **Faster than**
### Question 4
To set up the proportion correctly, we typically compare the paths. Given the lack of specific data for the lengths, I'm assuming a generic setup:
If the distance from whales to sharks is represented as 'a' and the distance from penguins to fish tanks as 'b':
- Proportion setup: \( \frac{a}{b} = \frac{305}{x} \)
Cross multiply:
- \(30x = 3054\)
To solve for \(x\):
- \(x = \frac{3054}{30} \approx 101.8\) (which I assume should be rounded as needed).
So the complete answers are:
- Set up the proportion: \(3054 = \frac{30}{x}\) or whatever is appropriate based on context.
- Cross Multiply: \(30x = 3054\)
- Solve for x: \(x \approx 101.8\) feet.
### Question 5
To find which row has a different ratio, we can look at the ratio of Gallons to Cups:
1. Row 1: \( \frac{30}{2} = 15\)
2. Row 2: \( \frac{85}{5} = 17\)
3. Row 3: \( \frac{135}{9} = 15\)
4. Row 4: \( \frac{180}{12} = 15\)
Row 2 has a different ratio:
- **Row 2**
### Question 6
Calculating how many games can be afforded:
1. Alley Cats: \( \frac{25}{3.97} \approx 6.29 \) → **6 games**
2. Bowlera: \( \frac{25}{5.49} \approx 4.55 \) → **4 games**
3. Pin Can: \( \frac{25}{4.22} \approx 5.91 \) → **5 games**
4. Bowl n Skate: \( \frac{25}{5.32} \approx 4.69 \) → **4 games**
The responses he can afford:
- **6 games at Alley Cats**
- **5 games at Pin Can**
### Question 7
To find the slope represented, we look for a constant rate of change. \( \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} = -3 \)
The option with a consistent decrease (based on one candidate from the given options) is:
- **x = 3, y = 1 and x = 2, y = 4**
### Question 8
To determine which has a slope of 13, we would need to analyze which slope corresponds to that value. Without visuals, this can't be directly answered, but you’d expect to see the steepness reflected correctly.
### Question 9
Based on the distance equations provided, we need specifics regarding graph points or equations for distance to resolve further. Thus without additional detail on Bike 1's and Bike 2's equations, we can't give a final answer.
### Completed Answers
- **Question 2**: 12 (first blank), 48 (fourth blank), 60 (fifth blank)
- **Question 3**: Faster than
- **Question 4**: Proportion setup (assuming context), Cross Multiply (Fixed value of 3054), \( x \approx 101.8\) feet.
- **Question 5**: Row 2
- **Question 6**: 6 games at Alley Cats, and 5 games at Pin Can
- **Question 7**: The pattern that reflects a constant change should be identified.
- **Question 8**: Depends on graph visuals.
- **Question 9**: Responses depend on what data is given, which was not fully provided here.
Feel free to clarify some points or add any other data where necessary!
### Question 2
To convert feet to inches, we use the conversion factor that 1 foot equals 12 inches.
- For 1 foot, it will be 12 inches.
- For 2 feet, it will be \(2 \times 12 = 24\) inches (which is already provided).
- For 3 feet, it will be \(3 \times 12 = 36\) inches (which is already provided).
- For 4 feet, it will be \(4 \times 12 = 48\) inches.
- For 5 feet, it will be \(5 \times 12 = 60\) inches.
The missing values are:
- For the first blank: **12**
- For the second blank: **48**
- For the third blank: **60**
### Question 3
To find the unit rate, we calculate:
- \(300 \, \text{miles} \div 4 \, \text{hours} = 75 \, \text{miles per hour}\)
Since 75 miles per hour is greater than the speed limit of 65 miles per hour, the motorcycle is:
- **Faster than**
### Question 4
To set up the proportion correctly, we typically compare the paths. Given the lack of specific data for the lengths, I'm assuming a generic setup:
If the distance from whales to sharks is represented as 'a' and the distance from penguins to fish tanks as 'b':
- Proportion setup: \( \frac{a}{b} = \frac{305}{x} \)
Cross multiply:
- \(30x = 3054\)
To solve for \(x\):
- \(x = \frac{3054}{30} \approx 101.8\) (which I assume should be rounded as needed).
So the complete answers are:
- Set up the proportion: \(3054 = \frac{30}{x}\) or whatever is appropriate based on context.
- Cross Multiply: \(30x = 3054\)
- Solve for x: \(x \approx 101.8\) feet.
### Question 5
To find which row has a different ratio, we can look at the ratio of Gallons to Cups:
1. Row 1: \( \frac{30}{2} = 15\)
2. Row 2: \( \frac{85}{5} = 17\)
3. Row 3: \( \frac{135}{9} = 15\)
4. Row 4: \( \frac{180}{12} = 15\)
Row 2 has a different ratio:
- **Row 2**
### Question 6
Calculating how many games can be afforded:
1. Alley Cats: \( \frac{25}{3.97} \approx 6.29 \) → **6 games**
2. Bowlera: \( \frac{25}{5.49} \approx 4.55 \) → **4 games**
3. Pin Can: \( \frac{25}{4.22} \approx 5.91 \) → **5 games**
4. Bowl n Skate: \( \frac{25}{5.32} \approx 4.69 \) → **4 games**
The responses he can afford:
- **6 games at Alley Cats**
- **5 games at Pin Can**
### Question 7
To find the slope represented, we look for a constant rate of change. \( \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} = -3 \)
The option with a consistent decrease (based on one candidate from the given options) is:
- **x = 3, y = 1 and x = 2, y = 4**
### Question 8
To determine which has a slope of 13, we would need to analyze which slope corresponds to that value. Without visuals, this can't be directly answered, but you’d expect to see the steepness reflected correctly.
### Question 9
Based on the distance equations provided, we need specifics regarding graph points or equations for distance to resolve further. Thus without additional detail on Bike 1's and Bike 2's equations, we can't give a final answer.
### Completed Answers
- **Question 2**: 12 (first blank), 48 (fourth blank), 60 (fifth blank)
- **Question 3**: Faster than
- **Question 4**: Proportion setup (assuming context), Cross Multiply (Fixed value of 3054), \( x \approx 101.8\) feet.
- **Question 5**: Row 2
- **Question 6**: 6 games at Alley Cats, and 5 games at Pin Can
- **Question 7**: The pattern that reflects a constant change should be identified.
- **Question 8**: Depends on graph visuals.
- **Question 9**: Responses depend on what data is given, which was not fully provided here.
Feel free to clarify some points or add any other data where necessary!
There are no human answers yet. A form for humans to post answers is coming very soon!