## 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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Math
3 months
2022-02-02T08:14:38+00:00
2022-02-02T08:14:38+00:00 1 Answer
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## Answers ( )

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