Natural-gas rates. Table 1 shows the winter rates for natural gas charged by the Bay State Gas Company. The base charge is a fixed monthly charge, independent of the amount of gas used per month.
Table 1 Natural Gas Rates
Base charge | $7.47 |
First 90 therms | $0.4000 per therm |
All usage over 90 therms | $0.2076 per therm |
(A) Write a piecewise definition of the monthly charge S(x) for a customer who uses x therms in a winter month.
(B) Graph S(x).
(C) Is S(x) continuous at x = 90? Explain.
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