An interior designer wants to decorate a newiy constmcted house. The function f(x} = 35x2 150 represents the amount of moneyr he eams per room decorated, where xrepresents the number of rooms he designs. The function 90:): %x represents the number of rooms the interior designer decorates, where x is 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: lfthe newly constlucted house requires 45 hours of work, how much will the interior designer earn? Show all necessary calculations. [5 points) Part C: DetenTIine an expression to represent the difference quotient tor the function found in PartA Show all necessary work. {5 points)