High School

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Runners in a 5k race were surveyed about their finishing times (f) and the number of previous races they had run (n). There was a negative linear relationship between \( f \) and \( n \) that is best modeled by the equation \( f = -1.2n + 38.1 \).

Which statement is true?

A. The model predicts that the finishing time for a runner in a 5k race is about 38.1 minutes.
B. The model predicts that for each additional race a runner has run, the finishing time decreases by about 1.2 minutes.
C. The model predicts that the finishing time for a runner in a 5k race is about 38.1 minutes.
D. The model predicts that the finishing time for a runner who has run 1.2 previous 5k races is about 38.1 minutes.

Answer :

In the given equation above relating the number of races the runner had run and the finishing time,
f = -1.2n + 38.1
It can be deduced that the initial finishing time is approximately 38.1 and that the time is reduced by 1.2 minutes in every race that the runner had run. Therefore, the answer to this item is letter B.

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