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9 February, 12:13

Tony will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $60 and costs an additional $0.30 per mile driven. The second plan has no initial fee but costs $0.80 per mile driven. How many miles would Tony need to drive for the two plans to cost the same?

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  1. 9 February, 12:21
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    Hello.

    The first car has a cost that can be calculated as a function of the miles driven:

    f (m) = 60 + 0.3m

    The second has a similar comportment:

    s (m) = 0.8m

    We want f (m) = s (m).

    60 + 0.3m = 0.8m

    0.8m - 0.3m = 60

    0.5m = 60

    m = 60 / 0.5

    m = 120.

    Tony would need to drive 120 miles to pay the same amount.
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