Use the image and table to answer the question.

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 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 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 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.

Answer 1

To determine which runner would win the race, we can analyze the data provided for both runners.

Runner A's distances at specific times are:

• In 0 minutes: 0 miles
• In 10 minutes: 1.2 miles
• In 20 minutes: 2.4 miles
• In 30 minutes: 3.5 miles
• In 40 minutes: 4.7 miles

From this data, we can estimate Runner A's pace:

• In the first 40 minutes, Runner A runs approximately 4.7 miles.

In contrast, Runner B's distances at the same intervals are:

• In 0 minutes: 0 miles
• In 10 minutes: 1 mile
• In 20 minutes: 2 miles
• In 30 minutes: 3 miles
• In 40 minutes: 4 miles
• In 50 minutes: 5 miles

This indicates that Runner B runs exactly 5 miles in 50 minutes.

Now, comparing the two runners over a mile range:

• After 40 minutes, Runner B has run 4 miles, while Runner A has run approximately 4.7 miles.
• Based on patterns observed, Runner A is gaining distance faster than Runner B. If this trend continues, Runner A is likely to cover the 26 miles of a marathon faster than Runner B.

Therefore, the correct response would be:

Runner A would win because Runner B runs 1 mile every 10 minutes, but Runner A runs more than 1 mile every 10 minutes.