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24 May, 23:34

A car rental company offers two plans for renting a car. Plan A: 30 dollars per day and 13 cents per mile Plan B: 50 dollars per day with free unlimited mileage For what range of miles will plan B save you money

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  1. 25 May, 01:31
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    Answer: you will save with plan B for miles greater than 153.8 miles.

    Step-by-step explanation:

    Let x represent the number of miles driven with either plans per day.

    Plan A: 30 dollars per day and 13 cents per mile. Converting cents to dollars, it becomes 13/100 = $0.13. It means that the total cost of driving x miles with plan A is

    30 + 0.13x

    Plan B: 50 dollars per day with free unlimited mileage. It means that the total cost of driving x miles with plan B is 50 dollars

    For you to save money with plan B, it means that the number of miles would be

    50 < 30 + 0.13x

    50 - 30 < 0.13x

    20 < 0.13x

    0.13x > 20

    x > 20/0.13

    x > 153.8
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