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).f(n). The graph of this function is shown below. 

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. Draw each graph separately. 

a) The state determines that the fine at every speed should go up by $5. 

b) The state determines that the fines at every speed should be one and a half times the regular fine in construction zones. 

c) The state decides to adjust all fines in such a way as to give an 8 mph “buffer”. (For example, the new fine for driving 30 mph over the speed limit will be the same as the current fine for driving 22 mph over the speed limit.)

Fine as a function of number of mph over speed limit $300 $250 $200 $150 $100 $50 So 10 15 20 25 30 35 40