43. Cost of Natural Gas In April 2009, Peoples Energy had the following rate schedule for natural gas usage in single - family residences:
Monthly service charge $15.95 Per therm service charge
1st 50 therms $0.33606/therm
Over 50 therms $0.10580/therm
Gas charge $0.3940/therm
(a) What is the charge for using 50 therms in a month?
(b) What is the charge for using 500 therms in a month?
(c) Develop a model that relates the monthly charge C for
x therms of gas.
(d) Graph the function found in part (c).
Source: Peoples Energy, Chicago, Illinois, 2009
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