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Math Help - Cost of Natural Gas

  1. #1
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    Cost of Natural Gas

    On December 13, 1996 the Peoples Gas Company had the following rate schedule for natural gas usage in single family residences:

    Monthly service charge 9.00
    Per therm service charge
    1st 50 Therm $.36375/therm
    Over 50 Therms $.11445/therm
    Gas charge $.3256/therm

    a) Wha is the charge for using 50 therms in a month?
    b)What is the charge for using 500 therms in a month?
    c) construct a function that relates the monthy charge C for x therms of gas
    d) Graph this function

    Please help.. I've been at this andI havent gotten the answers the back of my book has given
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  2. #2
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    let T = number of therms

    C = 9 + (.3256)T + (.36375)T ... T \leq 50

    C = 9 + (.3256)T + (.11445)T ... T > 50
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