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24 April, 14:39

5) A car rental company offers two plans for one way rentals. Plan I charges $36 per day and 17 cents per mile. Plan II charges $24 per day and 25 cents per mile. a. If you were to drive 300 miles in a day, which plan is better? b. For what mileage are both rates equal?

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  1. 24 April, 16:15
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    a. Plan I is better is we drive 300 miles in a day.

    b. 150 miles.

    Explanation:

    a. if mileage is 300 then rental charges will be,

    Plan I : $36 + 17 cents * miles

    $36 + 0.17 * 300 = $41.10.

    Plan II : $24 + 25 cents * miles

    $24 + 0.25 * 300 = $99.00

    Plan I total cost for 300 miles is $41.10 whereas Plan II total cost for 300 miles is $99.00. Plan I is better plan and cost effective.

    b. For mileage (m) calculation we will use equation;

    Plan I = Plan II

    $36 + 0.17m = $24 + 0.25m

    0.25m - 0.17m = $36 - $24

    m = $12 / 0.08

    m = 150 miles.
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