Question

Use the image and table to answer the question. 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 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. Runner B would win because Runner B is faster than Runner A. Runner A would win because Runner B runs 1 mile every 10 minutes, but Runner A runs more than 1 mile every 10 minutes.

Answer 1

To determine which runner would win the race, we need to analyze the speeds of both runners based on the information provided.

From the table, we can see that Runner B runs 1 mile in 10 minutes, which means they have a pace of 10 minutes per mile. Since a marathon is 26 miles, Runner B would take 260 minutes (or 4 hours and 20 minutes) to complete the marathon.

For Runner A, assuming the graph shows that Runner A's pace allows them to run more than 1 mile every 10 minutes (since the slope is increasing), it indicates that Runner A is running faster than Runner B. If Runner A can complete more than 2 to 3 miles in the same amount of time, they would finish the marathon sooner than Runner B.

Therefore, 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.**