Compare Proportional Relationships Quick Check
1 of 51 of 5 Items
Question
Use the image and table to answer the question.
A line graph is titled as Runner A, Average Miles per Minute. The x-axis is labeled Minutes ranging from 0 to 36 in increments of 6. The y-axis is labeled Miles ranging from 0 to 4 in increments of 1. 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 12 comma 1 right parenthesis, left parenthesis 24 comma 2 right parenthesis, and left parenthesis 36 comma 3 right parenthesis.
Runner B – Average Miles per Minute
Minutes Miles
20 2
30 3
40 4
Runner A and Runner B tracked their mileage. Runner A’s average miles per minute are displayed in the graph, and Runner B’s average miles per minute are displayed in the table. Which runner has the fastest time, and what are their average miles per minute?
(1 point)
Responses
Runner B has the fastest time at 10 average miles per minute.
Runner B has the fastest time at 10 average miles per minute.
Runner A has the fastest time at 10 average miles per minute.
Runner A has the fastest time at 10 average miles per minute.
Runner B has the fastest time at 12 average miles per minute.
Runner B has the fastest time at 12 average miles per minute.
Runner A has the fastest time at 12 average miles per minute
Runner A has the fastest time at 12 average miles per minute.
Compare Proportional Relationships Quick Check
2 of 52 of 5 Items
Question
Use the image and table to answer the question.
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
Granny Smith apples are cheaper at $1.85 per pound.
Granny Smith apples are cheaper at $1.85 per pound.
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.
Compare Proportional Relationships Quick Check
3 of 53 of 5 Items
Question
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 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.
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 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 80 cookies, and Cookie B makes 36 cookies from one cup of sugar.
Compare Proportional Relationships Quick Check
4 of 54 of 5 Items
Question
Use the image and table to answer the question.
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
4 600
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?
(1 point)
Responses
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 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 15 pages per hour.
Compare Proportional Relationships Quick Check
5 of 55 of 5 Items
Question
Use the table and image to answer the question.
Store 1 Football Cost
Quantity ($) Cost
1 12
2 24
3 36
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 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.
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.
Store 2 has the better buy on footballs. Store 1's football costs $12, and Store 2's football costs $9.
To answer the question, we need to compare the average miles per minute for Runner A and Runner B. We can find Runner A's average miles per minute by looking at the line graph and the coordinates of the plotted points.
The graph shows that Runner A's average miles per minute starts at (0, 0) and increases gradually. We can see that at 12 minutes, Runner A's average miles per minute is 1. At 24 minutes, it is 2, and at 36 minutes, it is 3.
Now, let's look at Runner B's average miles per minute from the table. At 20 minutes, Runner B's average miles per minute is 2. At 30 minutes, it is 3, and at 40 minutes, it is 4.
Comparing the values, we can conclude that Runner B has a faster time because their average miles per minute is higher than Runner A's at all the corresponding times. Therefore, the correct answer is: Runner B has the fastest time at 12 average miles per minute.