Express the amount of the fine F as a function of the driving speed x.

Question

In a certain state the maximum speed permitted on freeways is 55 mi/h and the minimum speed is 30 mi/h. The fine for violating these limits is $15 for every mile per hour above the maximum speed or below the minimum speed.

Answer 1

Let S = the speed.

Fine, F = 15(S-55) if S > 55

= 15(30-S) if S < 30

= 0 if 30≤S≤55