Compare Proportional Relationships Quick Check
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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 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.
Runner A has the fastest time at 10 average miles per minute.
The correct response is: Runner A has the fastest time at 12 average miles per minute.
To determine which runner has the fastest time and their average miles per minute, we need to compare the data for Runner A (displayed on the graph) and Runner B (displayed in the table).
Looking at the graph for Runner A, the plotted points show that at 0 minutes, Runner A covers 0 miles, at 12 minutes, Runner A covers 1 mile, at 24 minutes, Runner A covers 2 miles, and at 36 minutes, Runner A covers 3 miles.
Looking at the table for Runner B, it states that at 20 minutes, Runner B covers 2 miles, at 30 minutes, Runner B covers 3 miles, and at 40 minutes, Runner B covers 4 miles.
Comparing the data, we can see that Runner A covers 1 mile in 12 minutes, while Runner B covers 2 miles in 20 minutes. Therefore, Runner A has a faster time because they cover a greater distance in a shorter amount of time.
So, the correct answer is:
Runner A has the fastest time at 12 average miles per minute.