Use the image and table to answer the question.
A coordinate graph is titled Runner A. It is labeled number of minutes on the x-axis ranging from 0 to 50 in increments of 10 and miles on the y-axis from 0 to 5 in increments of 1. Five points are plotted. The approximate coordinates of the plotted points are as follows: left parenthesis 0 comma 0 right parenthesis, left parenthesis 10 comma 1.2 right parenthesis, left parenthesis 20 comma 2.4 right parenthesis, left parenthesis 30 comma 3.5 right parenthesis, and left parenthesis 40 comma 4.7 right parenthesis.
Runner B
Number of Minutes Number of Miles
0 0
10 1
20 2
30 3
40 4
50 5
A marathon is about 26 miles. The graph shows how fast Runner A ran. The table shows how fast Runner B ran. Which runner would win the race? How do you know?
(1 point)
Responses
Runner A would win because Runner B runs 1 mile every 10 minutes, but Runner A runs more than 1 mile every 10 minutes.
Runner A would win because Runner B runs 1 mile every 10 minutes, but Runner A runs more than 1 mile every 10 minutes.
Runner B would win because Runner B goes 5 miles and Runner A only goes between 4 and 5 miles.
Runner B would win because Runner B goes 5 miles and Runner A only goes between 4 and 5 miles.
Runner A would win because the slope is going up to the right on the graph.
Runner A would win because the slope is going up to the right on the graph.
Runner B would win because Runner B is faster than Runner A.
The answer is not provided in the options given. To determine the winner, we need to compare their speed. Runner A ran between 4.7 and 5 miles in 40 minutes, which is approximately a speed of 0.12 miles per minute. Runner B ran 5 miles in 50 minutes, which is a speed of 0.1 miles per minute. Therefore, Runner A is faster and would win the race.
Runner A would win because Runner B runs 1 mile every 10 minutes, but Runner A runs more than 1 mile every 10 minutes.
To answer the question, you need to compare the speeds at which Runner A and Runner B are running on the graph and in the table.
From the graph and table, you can see that Runner A runs at a faster pace than Runner B. Runner A is able to cover more miles in the same amount of time compared to Runner B. For example, at the 10-minute mark, Runner A has run 1.2 miles, while Runner B has only run 1 mile. Similarly, at the 40-minute mark, Runner A has run 4.7 miles, while Runner B has run 4 miles.
Since a marathon is about 26 miles, it is clear that Runner A would win the race because Runner A is able to cover a greater distance in the same amount of time compared to Runner B. Therefore, the correct answer is:
Runner A would win because Runner B runs 1 mile every 10 minutes, but Runner A runs more than 1 mile every 10 minutes.