A solar water heater costs about $6210 to install (after rebates). A traditional gas water heater costs about $800, and costs about $360 per year to run. The average annual cost to run the solar water heater is about $89.

A. Create total cost functions for each of the water heaters as a function of the number of years that is is used.

B. Graph the functions on the same set of axes

C. How many years would you need to use a solar water heater in order for the total cost to become less than the total cost of the gas water heater? Justify answer algebraically and graphically.