An interior designer wants to decorate a newly constructed house. The function f(x) = 100x - 50 represents the amount of money he earns per room decorated, where x represents the number of rooms he 1 x 9(x) = - 2 represents the number of rooms the interior designer decorates, where x is designs. The function the number of hours he works. Part A: Write a function that represents the amount of money the interior designer will make per hour decorating the house. (10 points) Part B: If the newly constructed house requires 45 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. (10 points)