Two taxi companies charge different rates.

Metro Taxi: $3.00 for the first mile and $2.50 for each additional mile

City Taxi: $5.00 for the first mile and $2.25 for each additional mile

For how many additional miles and how many total miles would the charge be the same at each company?

Show your work.

Question

Mathematics

Guest

17 July, 11:39

Two taxi companies charge different rates.

Metro Taxi: $3.00 for the first mile and $2.50 for each additional mile

City Taxi: $5.00 for the first mile and $2.25 for each additional mile

For how many additional miles and how many total miles would the charge be the same at each company?

Show your work.

+1

Answers (1)

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Lucky · Answer 1

Step-by-step explanation:

Assume that the additional miles that make the charge for total miles the same at each company is x (miles)

The charge of total miles by Metro taxi is: 3 + 2.5x ($)

The charge of total miles by City taxi is: 5 + 2.25x ($)

As the charge for the total is the same at each company, so that we have the equation as following: 3 + 2.5x = 5 + 2.25x

=> 2.5x - 2.25x = 5-3

=> 0.25x = 2

=> x = 2/0.25 = 8 (miles)

=> The total miles are: 8 + 1 = 9 miles

Two taxi companies charge different rates.Metro Taxi: $3.00 for the first mile and $2.50 for each additional mileCity Taxi: $5.00 for the first mile and $2.25 for each additional mileFor how many additional miles and how many total miles would the charge be the same at each company?Show your work.