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
