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?
Answer Choices:
* Biker B can cycle faster, 12 mph
* Biker A can cycle faster, 15 mph
* Biker B can cycle faster, 15 mph
* Biker A can cycle faster, 12 mph
On the chart there's a point where 0 and 0 meet and a point where 15 and 1 meet and a point where 30 and 2 meet and a point where 45 and 3 meet.
11 answers
For Biker A:
Speed = Distance/Time
Speed = 12/1 = 12 mph
Speed = 24/2 = 12 mph
Speed = 36/3 = 12 mph
Therefore, Biker A's speed is 12 mph.
For Biker B:
Speed = 12/1 = 12 mph
Speed = 24/2 = 12 mph
Speed = 36/3 = 12 mph
Therefore, Biker B's speed is 12 mph.
Since both Biker A and Biker B have the same speed of 12 mph, they are traveling at the same speed and neither is faster than the other.
Therefore, the correct answer is:
* Biker A can cycle faster, 12 mph
($) Cost per Pound:
Pounds ($) 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?
Answer Choices:
* Granny Smith apples are cheaper at $1.75 per pound.
* McIntosh apples are cheaper at $1.85 per pound.
* McIntosh apples are cheaper at $1.75 per pound.
* Granny Smith apples are cheaper at $1.85 per pound.
On the chart there's a point where $0.00 and 0 meet and a point where $3.50 and 2 meet and a point where $5.25 and 3 meet and a point where $7.00 and 4 meet.
For McIntosh Apples:
Cost per pound = Total cost / Total pounds
Cost per pound = $3.70 / 2 = $1.85 per pound
Cost per pound = $5.55 / 3 = $1.85 per pound
Cost per pound = $7.40 / 4 = $1.85 per pound
For Granny Smith Apples:
To determine the cost per pound for Granny Smith apples, we need additional information such as the cost of Granny Smith apples at different weights.
Comparing the given information, we see that McIntosh apples cost $1.85 per pound, while we do not have the data to calculate the cost per pound for Granny Smith apples.
Therefore, the correct answer is:
* McIntosh apples are cheaper at $1.85 per pound.
Cups Cookies
2 --------------- 80
3 -------------- 120
4 ------------- 160
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?
Answer Choices:
* 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 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 80 cookies, and Cookie B makes 36 cookies from one cup of sugar.
On the chart there's a point where 0 and 0 meet and a point where 36 and 1 meet and a point where 72 and 2 meet and a point where 108 and 3 meet and a point where 144 and 4 meet and a point where 180 and 5 meet.
For Cookie A:
Cookies per cup = Total cookies / Total cups
Cookies per cup = 80 / 2 = 40 cookies per cup
Cookies per cup = 120 / 3 = 40 cookies per cup
Cookies per cup = 160 / 4 = 40 cookies per cup
For Cookie B:
To determine the cookies made per cup for Cookie B, we need additional information such as the number of cookies made at different cups.
Comparing the information given, we see that Cookie A makes 40 cookies from one cup of sugar. We do not have the data to calculate the cookies made per cup for Cookie B.
Therefore, the correct answer is:
* 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.
Hours Pages
2 -------------- 30
3 -------------- 45
4 -------------- 600
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?
Answer Choices:
* Student 1 reads faster than Student 2 by 10 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 15 pages per hour.
On the chart there's a point where 0 and 0 meet and a point where 10 and 1 meet and a point where 20 and 2 meet and a point where 30 and 3 meet and a point where 40 and 4 meet and a point where 50 and 5 meet.
For Student 1 (from the graph):
At 1 hour, Student 1 reads 15 pages per hour
At 2 hours, Student 1 reads 30 pages per hour
At 3 hours, Student 1 reads 45 pages per hour
For Student 2:
At 2 hours, Student 2 reads 30 pages per hour
At 3 hours, Student 2 reads 45 pages per hour
At 4 hours, Student 2 reads 150 pages per hour
Comparing the reading rates:
Student 2 reads 30 pages per hour for the first 2 hours
Student 1 reads 15 pages per hour for the same duration
Student 2 reads 45 pages per hour for the next hour
Student 1 reads 15 pages per hour for the same duration
After 3 hours, both students have read the same number of pages
At 4 hours, Student 2 reads 150 pages per hour, which is much faster than Student 1's reading rate of 45 pages per hour.
Therefore, Student 2 reads faster than Student 1 by 105 pages per hour. However, none of the provided answer choices match this calculation.
* Student 2 reads faster than Student 1 by 15 pages per hour.
Although this answer is not entirely accurate (as the correct difference is 105 pages per hour), it is the closest option based on the choices provided.
Quantity ($) Cost
1 ---------------- 12
2 ---------------- 24
3 ---------------- 36
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?
Answer Choices:
-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 1 has the better buy on footballs. Store 2’s football costs $9, and Store 1’s football costs $3.
-Store 2 has the better buy on footballs. Store 1’s football costs $12, and Store 2’s football costs $9.
On the chart there's a point where 0 and 0 meet and a point where 9 and 1 meet and a point where 18 and 2 meet and a point where 27 and 3 meet and a point where 36 and 4 meet.
For Store 1:
Cost per football = Total cost / Quantity
Cost per football = $12 / 1 = $12
Cost per football = $24 / 2 = $12
Cost per football = $36 / 3 = $12
For Store 2:
To determine the cost per football at Store 2, we need additional information such as the cost of footballs at different quantities.
Comparing the given information, we see that the cost of a football at Store 1 is $12 at any quantity while we do not have the data to calculate the cost per football for Store 2.
Therefore, the correct answer is:
- Store 1 has the better buy on footballs. Store 2’s football costs $12, and Store 1’s football costs $9.