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29 September, 00:53

Two taxi companies charge different rates. Metro taxi charges $3.00 for the first mile and $2.50 for each additional mile. City taxi charges $5.00 for the first mile and $2.25 for each additional miles. After how many miles will both companies charge the same amount?

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  1. 29 September, 03:10
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    Answer: it will take 9 miles for both costs to be the same.

    Step-by-step explanation:

    Let x represent the number of miles it will take for both companies to charge the same amount.

    Metro taxi charges $3.00 for the first mile and $2.50 for each additional mile. This means that the total charge for x miles would be

    3 + 2.5 (x - 1) = 3 + 2.5x - 2.5

    = 2.5x + 0.5

    City taxi charges $5.00 for the first mile and $2.25 for each additional miles. This means that the total charge for x miles would be

    5 + 2.25 (x - 1) = 5 + 2.25x - 2.25

    = 2.25x + 2.75

    For the costs to be the same, then

    2.5x + 0.5 = 2.25x + 2.75

    2.5x - 2.25x = 2.75 - 0.5

    0.25x = 2.25

    x = 2.25/0.25

    x = 9
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