Question 4 [Essay Worth 15 points) [:1 {02.04, 2.07 HC) An interior designer wants to decorate a newly constructed house. The function f (x) = 25x2 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 XiS the number of hours he works. PartA: 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 constmcted house requires 40 hours ofwork, how much will the interior designer earn? Show all necessary calculations. (5 points) Part C. Determine an expression to represent the ditTerence quotient for the function found in Part A. Show all necessary work. (5 points)