In looking over his water utility bills for the past year, Mr. Aviles saw that he was charged a basic monthly fee of $7.18, and $3.98 per thousand gallons (gal) used.
a. Write the monthly cost function in terms of the number of thousands of gallons used.
b. What is his monthly bill if he uses 8000 gal of water?
c. Write a function for the number of thousands of gallons used in terms of the cost.
d. If his monthly bill is $54.94, how many gallons of water did he use?
e. Show that the functions from 13a and c are inverses.
f. Mr. Aviles decides to fix his leaky faucets. He calculates that he is wasting 50 gal/d. About how much money will he save on his monthly bill?
g. A gallon is 231 cubic inches. Find the dimensions of a rectangular container that will hold the contents of the water Mr. Aviles saves in a month.