Charges of taxi companies

Question

In one city, taxi company A charges $5 plus $0.35/km travelled. Taxi company B charges $3.50 plus $0.50/km. For what distance is the charge the same using either taxi company?

Answer 1

Diego,

 

Set up an equation for each company, with the variable for miles, and set them equal to each other, then solve for m.

 

A=0.35m+5

B=0.5m+3.5

 

0.35m+5=0.5m+3.5

-.35m-3.5=-.35m-3.5

1.5=.15m

10=m

 

So, at 10 miles, the cost of both taxis is the same.