Ask Question
4 April, 22:48

The organizers of a 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. What statement is true? The model predicts that for each additional race a runner has run, the finishing time decreases by about 1.2 minutes. The model predicts that the finishing time for a runner in a 5k race is about 38.1 minutes. The model predicts that the finishing time for a runner who has run 1.2 previous 5k races is about 38.1 minutes. The model predicts that the finishing time for a runner who has run 1.2 previous 5k races is about 1.2 minutes.

+4
Answers (2)
  1. 4 April, 23:04
    0
    Let's interpret this equation. If we have that a runner has 0 races under his belt, he completes the race in 38.1 min. We have that the slope is - 1.2 min/race and the intercept at n=0 is 38.1 min. Hence, for every race, the duration of the run decreases by 1.2 min (or increases by - 1.2 min).

    Lets derive that. Suppose a runner that has run n races, runs once more.

    The difference of times is:

    (-1.2 (n+1) + 38.1) - (-1.2n+38.1) = - 1.2 (n+1) - (-1.2n) = - 1.2n-1.2+1.2n=1.2 minutes.

    Hence, the correct answer is the first.
  2. 4 April, 23:15
    0
    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
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “The organizers of a 5k race surveyed runners about their finishing times (f) and the number of previous races they had run (n). The ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers