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16 May, 16:40

EZ car rental charges $40 dollars a day plus $0.25 per mile. Ace Rent-A-Car charges $25 dollars a day plus $0.45 per mile. What number of miles results in the same costs as one day?

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  1. 16 May, 20:21
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    Find an expression for each Rental car company's charge in one day where x = the number of miles driven.

    EZ car rental: 0.25x + 40

    Ace Rent-a-car: 0.4x + 25

    You want to find when the two expressions are equal, so set the two expressions equal:

    0.25x + 40 = 0.40x + 25

    Solve for x!

    0.25x + 15 = 0.40x

    15 = 0.15x

    x = 15/0.15

    x = 100

    You can check by plugging the number back in:

    0.25 (100) + 40 = 65

    0.4 (100) + 25 = 65
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