Question

A rental car company charges a one time fee of $50 plus

$1 per mile.Another rental car company charges a one
time fee of $10 plus $2 permile. The equations at right
represent the total cost, t, for renting a carform miles
at each company. For how many miles is the cost
the same at both companies?

Answer 1

They can be the same price at 40 miles because 50+1(40) is 90 and 10+2(40) is 90

Answer 2

Answer: it would take 40 miles before the cost is the same for both companies.

Explanation:

Let m represent the number of miles travelled at either company A or company B

Let t represent the total charge for m miles when either company A or company B is used.

Company A charges a one time fee of $50 plus $1 per mile. This means that the total amount charged for m miles at company A would be

t = x + 50

Company B charges a one

time fee of $10 plus $2 per mile. This means that the total amount charged for m miles at company B would be

t = 2x + 10

To determine the number of miles before the cost for both companies becomes the same, we would equate t to t. It becomes

x + 50 = 2x + 10

2x - x = 50 - 10

x = 40