(02.04, 2.07 HC)
An interior designer wants to decorate a newly constructed house. The function f(x)=36x²-125 represents the
amount of money he earns per room decorated, where x represents the number of rooms he designs. The
function
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 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. (5 points)
