At a certain marathon race, the winner comes in at a time of 130 minutes. Second place comes in at a time of 135 minutes, and third place comes in at 140 minutes. Starting with third place, contestants come in at regular intervals all the way up to the last successful finisher, who gets 10th place with a time of 168 minutes.

Question

Create a piecewise function

Answer 1

If x is the place to finish, and t is the time,

t(x) = 125+5x for x=1,2,3
t(x) = 140+(168-140)/(10-3) x for x>3
= 140+4x

Answer 2

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