A car rental company charges $34 per day for a rented car and $0.50 for every mile driven. A second car rental company charges $20 per day and $0.75 for every mile driven. What is the number of miles at which both companies charge the same amount for a one-day rental? A.
56 miles

B.
54 miles

C.
36 miles

D.
24 miles

First you want to make the equations for finding the total price of each rental car. We will say that x is the number of days and y is the number of miles. We will say the price for the first company is A = 34x + 0.50y and the second company is B = 20x + 0.75y. We want to find y where 34x+0.5y = 20x+0.75y and x=1. You should get 56 miles