SOLUTION: The charge to rent a car is 37 dollars per day plus $0.25 per mile. Charles has budgeted $350 to rent a car for s short vacation which he plans to complete in three days. What is t

Question 1038454: The charge to rent a car is 37 dollars per day plus $0.25 per mile. Charles has budgeted $350 to rent a car for s short vacation which he plans to complete in three days. What is the maximum number of miles he can drive without exceeding his budget?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the charge to rent the car is 37 dollars per day plus .25 per mile.
the maximum amount of money available to spend is 350 dollars.
the vacation will take 3 days.
let x = the number of miles.
equation becomes 350 >= 37*3 + .25*x
simplify to get 350 >= 111 + .25*x
subtract 111 from both sides to get 350 - 111 >= .25*x
simplify to get 239 >= .25*x
divide both sides by .25 to get 239/.25 >= x
solve for x to get x <= 956 miles.
he can travel up to 956 miles in 3 days and still be within his budget limit of 350 dollars.

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