Table 2 shows the rates for natural gas charged by the Middle Tennessee Natural Gas Utility District during winter months. The customer charge is a fixed monthly charge, independent of the amount of gas used per month.

(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 5(s) continuous at x = 50? Explain.

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Table 2 Winter (October- April Base chargse First 5 therms Next 45 therms Over 50 therms $5.00 0.69 per therm 0.65 per therm 0.63 per therm