Question 4 (Essay Worth 15 points) (02.04, 2.07 HC) An interior designer wants to decorate a newly constructed house. The function f (x) = 25x - 100 represents the amount of money he earns per room decorated, where x represents the number of rooms he designs. The function g(x) - _ x represents the number of rooms the interior designer decorates, where x is the number of hours he works. Part A: Determine the amount of money the interior designer will make decorating the house as a function of hours he works. (5 points) Part B: If the newly constructed house requires 40 hours of work, how much will the Interior designer earn? Show all necessary calculations. (5 points) Part C: Determine an expression to represent the difference quotient for the function found in Part A. Show all necessary work. (5 points) Source V C BIUSXXI = = Styles Format Font Size - A- A