Hard/Tricky Math Question, Please Help?!?

[superman]

The fine for speeding on the highways of most states is a function of speed of the car. The fine for speeding on the NJ turnpike, for example, can generally be determined by the formula:
F(s) = 3(s - 65) + 98

Where F is the fine in dollars and s is the speed your car was going in miles per hour.

A. What would the fine be if you were caught traveling 85mph?

B. Suppose you received a speeding ticket for $203. How fast were you going? Explain how you arrived at your answer.

C. Why is it unlikely for someone to receive a $50 speeding fine on the NJ turnpike?


thank you very much for your help

[Michael A]

Why are we rewarding this type of behavior by answering these questions?

Our children are going to grow up to be complete idiots!

[Pranil]

Is it hard ? Is it tricky ?
Just substitute values and find value of s.

[kitten]

I came up with the same answer as Mamamia
F(s)=158

[mamamia]

A. What would the fine be if you were caught traveling 85mph?
F(s) = 3(s - 65) + 98
F(85) = 3(85 - 65) + 98
F(85) = 3(20) + 98
F(85) = 60 + 98
F(85) = 158


B. Suppose you received a speeding ticket for $203. How fast were you going?
203 = 3(s - 65) + 98
203 - 98 = 3(s - 65)
105 = 3(s - 65)
105/3 = (s - 65)
35 = s - 65
100 = s

You were going 100 mph

C. Why is it unlikely for someone to receive a $50 speeding fine on the NJ turnpike?
If you were going 65 mph, the fine would be $98. You could only get a $50 fine by going less than 65 mph, which is not over the turnpike speed limit.