Luz has an option of purchasing two different types of washing machines. The highly efficient SmartCycle costs $900 and is expected to use $30 per year in electricity. The Clean Master costs $600 and is expected to use $80 per year in electricity.
a. Set up a cost function, S(x), to represent the cost of owning and operating the SmartCycle over a period of x years.
b. Set up a cost function, C(x), to represent the cost of owning and operating the Clean Master over a period of x years.
c. Set up an average yearly cost rational function, A(x), for the SmartCycle.
d. Set up an average yearly cost rational function, B(x), for the Clean Master.
e. Graph both average yearly cost functions on the same axes. Interpret the graphs in terms of the average yearly cost for owning and operating each washer.