To determine which runner has the fastest average time per mile, we need to calculate the average minutes per mile for each runner based on the data given.
For Runner A, we can use the points from the line graph:
- At 12 minutes, Runner A has run 1 mile.
- At 24 minutes, Runner A has run 2 miles.
- At 36 minutes, Runner A has run 3 miles.
From this, it's clear that Runner A's average is consistent: every 12 minutes, they run 1 mile, so Runner A's average minutes per mile is 12 minutes per mile.
Now let's analyze Runner B’s data from the table:
- At 20 minutes, Runner B has run 2 miles.
- At 30 minutes, Runner B has run 3 miles.
- At 40 minutes, Runner B has run 4 miles.
To find the average minutes per mile for Runner B, we can calculate the ratio for any of these entries. Let's use the first one:
20 minutes for 2 miles gives us 20 ÷ 2 = 10 minutes per mile.
Therefore, based on the average minutes per mile, Runner B is faster with an average of 10 minutes per mile compared to Runner A's average of 12 minutes per mile.