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 B would win because Runner B is faster than Runner A.
Runner B would win because Runner B is faster than Runner A.

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 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.
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Answer 1

To determine which runner would win the race, we can analyze the information provided.

Runner B runs at a constant pace, as shown in the table:

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

Runner B runs 1 mile every 10 minutes, meaning their speed is consistent.

Now looking at Runner A's performance from the graph:

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

It can be observed that Runner A's pace is increasing. In the first 10 minutes, Runner A covers 1.2 miles, which is faster than Runner B's 1 mile in the same time interval.

From the data, we can see that Runner A manages to cover distances greater than Runner B's in each time interval (after the first 10 minutes).

Runner A would continue to gain more distance over time compared to Runner B due to this increasing speed.

Thus, the correct response 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.