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.

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

Question

Skyla Proctor

Mathematics

26 February, 09:05

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.

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

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Answers (1)

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Austin Sherman · Answer 1

The appropriate explanation of the model is C. the model predicts that for each additional race a runner has run, the finishing time decreases by about 1.2 minutes.

This is seen by the factor - 1.2 being multiplied to the number of races, meaning there is a decrease of 1.2 per race. The base time taken, without having run any races, is 38.1 minutes.