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Algebra Problem Solving

Denise's cell phone plan is $29.95 per month plus $.10 per minute for each minute over 300 minutes of call time. Denise's cell phone bill is $99.95. For how many minutes was she billed? Answer is 700 but what is the algebraic equation?

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  1. cost = .10(m-300) + 29.95 , where m is the number of minutes

    so ....
    .10(m-300) + 29.95 = 99.95
    .1m - 30 = 70
    .1m = 100
    m = 100/.1 = 1000

    She used 1000 minutes, but is only billed for any time over 300 minutes , look at (m-300) in the equation.
    She was billed for 700 minutes

    btw, the equation is only valid for m>300
    if m<300
    it would simply be
    cost = 29.95

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