Bicyclists in a 10-mile race were surveyed about their finishing times in minutes (f) and the number of previous races they had competed in (n). There was a negative linear relationship between f and n that is best modeled by the equation f=-0.45n+43.6. Which statement is true? The model predicts that the finishing time for a bicyclist who has competed in 43.6 previous races is about 0.45 minutes less than his finishing time in his first race. The model predicts that for each additional race a bicyclist has competed in, the finishing time decreases by about 0.45 minutes. The model predicts that the average finishing time for a race is 43.6 minutes The model predicts that for each additional race a bicyclist has competed in, the finishing time decreases by about 43.6 minutes.

Question

Nora Shelton

Mathematics

27 August, 03:39

Bicyclists in a 10-mile race were surveyed about their finishing times in minutes (f) and the number of previous races they had competed in (n). There was a negative linear relationship between f and n that is best modeled by the equation f=-0.45n+43.6. Which statement is true? The model predicts that the finishing time for a bicyclist who has competed in 43.6 previous races is about 0.45 minutes less than his finishing time in his first race. The model predicts that for each additional race a bicyclist has competed in, the finishing time decreases by about 0.45 minutes. The model predicts that the average finishing time for a race is 43.6 minutes The model predicts that for each additional race a bicyclist has competed in, the finishing time decreases by about 43.6 minutes.

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Friday · Answer 1

For this case, what can be observed is a decrease in time by increasing the number of races in which it competes.

If you have competed in a race:

f = - 0.45 * (1) + 43.6

f = 43.15 min (arrival time).

If you have competed in two races:

f = - 0.45 * (2) + 43.6

f = 42.7 min (arrival time).

answer:

The model predicts that for each additional race a bicyclist has competed in, the finishing time decreases by about 0.45 minutes.