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 10 average miles per minute.
Runner A has the fastest time at 10 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.
To determine which runner has the fastest time and their average miles per minute, we need to compare the data from Runner A and Runner B.
The line graph for Runner A shows that at 0 minutes, the average miles per minute is 0, at 12 minutes it is 1, at 24 minutes it is 2, and at 36 minutes it is 3. So, Runner A's average miles per minute increases by 1 every 12 minutes.
Looking at the table for Runner B, at 20 minutes the average miles per minute is 2, at 30 minutes it is 3, and at 40 minutes it is 4.
Comparing the two runners, we can see that Runner B reaches an average miles per minute of 4 at 40 minutes, while Runner A reaches an average miles per minute of 3 at 36 minutes. Therefore, Runner B has the fastest time.
The correct answer is:
Runner B has the fastest time at 4 average miles per minute.