SOLUTION: A major car rental firm charges $57 a day with unlimited mileage. A discount firm offers a similar car for $24 a day plus 22 cents per mile. How far must you drive in a day in orde

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Question 450098: A major car rental firm charges $57 a day with unlimited mileage. A discount firm offers a similar car for $24 a day plus 22 cents per mile. How far must you drive in a day in order for the cost to be the same at both firms?
I just have a real problem knowing how to set the solutions up. Thank you so much for your help.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A major car rental firm charges $57 a day with unlimited mileage.
A discount firm offers a similar car for $24 a day plus 22 cents per mile.
How far must you drive in a day in order for the cost to be the same at both firms?
:
let d = distance in miles, driven for the cost to be the same for both firms
:
Write an equation for each firm:
:
Major Car Rental:
Cost = $57
:
Discount Firm
Cost = .22d + 24
:
Disc firm = Major firm
.22d + 24 = 57
.22d = 57 - 24
.22d = 33
d = 33%2F.22
d = 150 mi will cost the same for each firm
:
:
Check this: .22(150) + 24 = 57, same as the Major firm