Question

A race pilot's average rate of speed over a 720-mile course is inversely proportional to the time in minutes t the pilot takes to fly a complete race course. The pilot's final score s is the average speed minus any penalty points p earned. 1. Write a function to model the pilot's score for a given t and p (Hint: d = rt) 2. Graph the function for a pilot who has two penalty points. 3. What is the maximum time a pilot with 2 penalty points can take to finish the course and still earn a score of at least 3?

Answer 1

If d = rt, Then r = d/t
avg speed = 720/t

Therefore after subtracting penalty points, the function for score is:

`s = (720)/(t) - p`

For part 2 i will attach a picture.


Part 3)
Set s = 3 and solve for t

`(720)/(t) - 2 = 3`

`720 = 5t`

`t =144`