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On most state highways, the fine for speeding depends on the speed of the car. I

ID: 3185727 • Letter: O

Question

On most state highways, the fine for speeding depends on the speed of the car. In a certain state, suppose the fine as a function of the number of miles per hour over the speed limit is f(n). The graph of this function is shown below Fine as a function of number of mph over speed imit 300 $250 $200 $150 $100 550 SO 0 S 10 15 20 25 30 S 4 For each of the following situations, write a function, in terms of f (n), that describes the new fine function, and draw the new graph with an appropriate scale and labeled axes a. The state determines that the fine at every speed should go up by $50 b. The state determines that the fines at every speed should be twice the regular fine in construction zones

Explanation / Answer

In a state,the fine for speeding above the speed limit, is f(n), a function of n, the number of miles per hour over the speed limit.

(a). If the fine at every speed goes up by $ 50, then the new fine is F(n) = f(n)+50.

(b). If the fine at every speed if double the refular fine, then the new fine is G(n) = 2f(n).

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