Question

I need help with number eight.

Answer 1

Dale's average pace was consistently 0.75 miles per minute greater than Terry's average pace throughout different intervals of the race.

Let's analyze the information given. Dale ran a 12-mile course in 75 minutes, which means his average pace was
`\( (12)/(75) \)` miles per minute.

For Terry, we can calculate the average pace at different intervals:

- Between 0 and 2 miles:
`\( (2)/(11) \)` miles per minute

- Between 0 and 4 miles:
`\( (4)/(22) \)` miles per minute

- Between 0 and 5 miles:
`\( (5)/(27.5) \)` miles per minute

- Between 0 and 7 miles:
`\( (7)/(38.5) \)` miles per minute

Comparing Dale's average pace with Terry's average pace at each interval, we can see that Dale's average pace is consistently greater than Terry's. Therefore, the correct comparison statement is:

C. Dale's average pace was 0.75 miles per minute greater than Terry's average pace.