Question

Company A charges a fee of $5 for a cab ride, plus a charge of $0.50 for each mile driven. Company B charges a fee of $10 for a cab ride, plus a charge of $0.10 for each mile driven. For what number of miles driven will the cost of a cab ride be the same for both companies? Enter your answer in the box.

Answer 1

The equation for Company A: y = .50x + 5
The equation for Company B: y = .10x + 10

Setup:
.50x + 5 = .10x + 10
.40x + 5 = 10               subtracted .10x from both sides of equation
.40x = 5                       subtracted 5 from both sides of equation
x = 12.5                       divided both sides of equation by .40

12.5 miles is the answer