MATH SOLVE

2 months ago

Q:
# 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.

Accepted Solution

A:

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

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