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Math Help - Equation of a Line

  1. #1
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    Exclamation Equation of a Line

    I have a word problem I can't solve. Please help?

    A Plumber charged $110 for a three-hour job and $160 for a five-hour job. At this rate, how much would he charge for an 8-hour job?

    Thanks in advance.
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  2. #2
    MHF Contributor
    Joined
    Apr 2008
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    Let a be the initial cost, and b be the cost per hour. Then:

    a + 3b = 110
    a + 5b = 160

    Solve the system for a and b; your answer will be a + 8b.
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