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

Question

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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Hadley 3 months 2022-02-02T08:14:38+00:00 1 Answer 0 views 0

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    2022-02-02T08:16:19+00:00

    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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