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Math Help - I can't come up with a formula...

  1. #1
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    Aug 2009
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    I can't come up with a formula...

    The question is...

    Residents of the town of Maple Grove who are connected to the municipal water supply are billed a fixed amount yearly plus a charge for each cubic foot of water used. A household using 1000 cubic feet was billed $50, while one using 1600 cubic feet was billed $75.

    Some how, I came up with the formula...
    C(w) = 24x-200, but it does the opposite of what I want it to do... (you put the amount of dollars in as x instead of the amount of square feet, and it tells you how many square feet the amount of money is worth instead of telling me how much money I would need for x amount of square feet...)

    For example...

    C(50) = 24(50)-200 = 1000

    I need...
    C(1000) = formula = 50

    I tried inverting it, but it made the problem all funky and didn't work
    so I said...

    C(w) = w/24+200

    I don't know if I inverted it wrong, or if something is just off with my formulas.
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  2. #2
    MHF Contributor Calculus26's Avatar
    Joined
    Mar 2009
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    Florida
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    1,271
    You simply forgot to divide the 200 by 24 also

    C(w) = w/24 + 200/24
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  3. #3
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    Aug 2009
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    Ah, I see. I always make those simple errors... Thank you very much
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