Problem 2 On 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)=40d‾‾‾‾√ (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.

Part 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. (Remember: Identify your input and output variables, use proper notation, and show your work.)

Part b)
Find (F∘S)(d) and explain what this function does in context of the problem.

Kevin has just finished paying off his loan. he was assessed a service charge of $422. he paid off the principal and the interest by making weekly payments of $36.13 for four years. if the principal was $7,150, how much did kevin pay in finance charges, to the nearest dollar? a. $498 b. $365 c. $422 d. $787

The average hourly earnings for a construction worker is projected to be $24.50 in 2012. jason wants to join the construction work force after he graduates in 2012. his friend tells him that average hourly earnings for construction workers will rise by 2% from 2009 to 2012. based on the data below, assuming that the projected hourly earnings are correct, is jason’s friend’s statement accurate? construction industry - average hourly earnings, 2000-2009 a. his friend’s statement is accurate. the average hourly earnings will increase by 2%. b. his friend’s statement is not accurate. the percent increase will be more than 2% c. his friend’s statement is not accurate. the percent increase will be less than 2% d. his friend’s statement is not accurate. the average hourly earnings will decrease

Thelime contains the point(-3,0) and parallel x-3y=3( show all work)