A utility company has the following rate schedule for natural gas usage in a city’s business district:
Monthly service charge $8.80
Per therm service charge:
1st 25 therms : $0.6686/therm
Over 25 therms: $0.85870/therm
(a) What is the charge for using 25 therms in one month?
(b) What is the charge for using 45 therms in one month?
(c) Construct a function that gives the monthly charge C for x therms of gas.
*Please show work