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?

Question

Trevor Blackburn

Mathematics

5 February, 07:21

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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Answers (1)

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Adrienne Wood · Answer 1

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