Q2 Question 2 - Combining Functions 1On most state highways, the fine for speeding depends on the speed of the car. On a certain state highway, the fine for driving 70 mph is $25 and the fine for driving 85 mph is $100. On this particular road, when a car brakes suddenly, the function S(d) = √ (under the square root) 40d can be used to approximate the speed of a car (in mph) when it leaves a skid mark of length d feet on the road.
a) Using the information provided, write a linear equation that represents the fine for speeding, F,
as a function of the speed in mph on the state highway.
Part b) Find (F x S)(d) and explain what this function can be used for in context of the problem.