Blue Taxi Company charges $4.00 to pick you up plus $0.35 per mile Orange Taxi Company charges $2.50 to pick you up plus $0.45 per mileAfter how many miles will the two companies charge the same fee?

Question

I need help with this math question for my test

Answer 1

First, let's write down the known variables for each business.

Blue Taxi Company

Initial Charge: $4.00

Continuous Charge: $0.35/mile

Orange Taxi Company

Initial Charge: $2.50

Continuous Charge: $0.45/mile

Then, you would set up an equation for both of them.

Blue Taxi Company

4 + 0.35x, where x is the miles traveled.

Orange Taxi Company

2.5 + 0.45x, where x is the miles traveled.

Then, you want to set the equations equal to each other and solve for x.

4 + 0.35x = 2.5 + 0.45x

1.5 = 0.1x

15 = x

So, each company will charge the same amount after travelling 15 miles.