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
According to the graph and table, Runner B has the fastest time. Their average miles per minute is 0.2 miles.
To determine which runner has the fastest time and their average miles per minute, we need to compare the values from the graph and the table.
From the graph, we can see that Runner A's coordinates are (0,0), (12,1), (24,2), and (36,3). This means that Runner A's average miles per minute are 0, 1, 2, and 3 at the corresponding minutes.
From the table, we can see that Runner B's average miles per minute are 2, 3, and 4 at 20, 30, and 40 minutes respectively.
Comparing the values, we can see that at 20 minutes, Runner A has an average of 0 miles per minute, while Runner B has an average of 2 miles per minute. At 30 minutes, Runner A has an average of 1 mile per minute, while Runner B has an average of 3 miles per minute. Finally, at 40 minutes, Runner A has an average of 2 miles per minute, while Runner B has an average of 4 miles per minute.
Therefore, we can conclude that Runner B has the fastest time, with an average of 4 miles per minute.