Question

5.In a certain state the maximum speed permitted on freeways is 65 km/h and the minimum speed is 40 km/h. The fine for violating these limits is Rs.15 for every kilometer per hour above the maximum speed or below the minimum speed. Express the amount of the fine as a function of the driving speed and graph for 100.

Answer 1

f(s) =
15(s-65) for s>65
15(40-s) for s<45

or

f(s) = 15|s-52.5| if |s-52.5| > 12.5

f(s) = 0 otherwise.