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6 January, 06:27

Lamar will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $63.96 and costs an additional $0.12 per mile driven. The second plan has an initial fee of $49.96 and costs an additional $0.14 per mile driven. How many miles would Lamar need to drive for the two plans to cost the same?

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  1. 6 January, 09:27
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    Assume x is the distance and y the cost.

    First plan:

    y = 63.96 + 0.12x

    Second plan:

    y = 49.96 + 0.14x

    Find the distance x when the cost is same.

    63.96 + 0.12x = 49.96 + 0.14x

    0.14x - 0.12x = 63.96 - 49.96

    0.02x = 14

    x = 14/0.02

    x = 700 miles

    Good luck
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