Question

5k race surveyed runners about their finishing times (f) and the number of previous races they had run (n). The organizers found a negative linear relationship between f and n that is best modeled by the equation f=−1.2n+38.1

Answer 1

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 SEE ATTACHED IMAGE, PLEASE.
 The first thing we must do for this case is to define variables.
 n = number of 5k races covered
 f = end time.
 We have the following equation:
 f = -1.2n + 38.1
 We note that the slope of the line is:
 m = -1.2 minutes per race
 Therefore, the time decreases 1.2 minutes when the number of races increases n.
 Answer:
 The model predicts that for each additional race to runner has run, the finishing time decreases by about 1.2 minutes