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Data was gathered on 500 competitive mile runners, recording their average mile time and the primary elevation at which they train. The rate of change of function \( f \) is negative, and the rate of change is increasing. Which of the following is the most reasonable conclusion?

1. Runners who have slower mile times must be primarily training at high elevation.
2. Runners who have faster mile times must be primarily training at low elevation.
3. Runners who primarily train at lower elevations tend to have lower average mile times.
4. Runners who primarily train at lower elevations tend to have higher average mile times.

Answer :

Answer:

Runners who primarily train at lower elevations tend to have lower average mile times.

Step-by-step explanation:

The correct answer after thinking thoroughly is option 3: Runners who primarily train at lower elevations tend to have lower average mile times.

This is because the function shows a negative rate of change, meaning as elevation decreases, mile times also decrease (get faster). In simpler terms, runners training at lower elevations generally have faster mile times. The data suggests that lower elevation training is associated with better (lower) average mile times, likely due to factors like higher oxygen availability at lower altitudes.

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