Problema Solution
A truck rental agency charges $49 per day plus 20 cents per mile to rent a certain truck. Another agency charges $29 per day plus 25 cents per mile to rent the same truck. How many miles per day will have to be driven for the cost of a truck from the first agency to equal the cost of a truck from the second agency?
Answer provided by our tutors
let
x = the miles driven
the cost of the first rental agency will be (49 + 0.2*x) dollars (note that 20 cents are $0.20)
the cost of the second rental agency will be (29 + 0.25*x) dollars (note that 25 cents are $0.25)
the cost of the first rental agency = the cost of the second rental agency
49 + 0.2*x = 29 + 0.25*x
0.25*x - 0.2*x = 49 - 29
0.05*x = 20
x = 20/0.05
x = 400 miles
400 miles per day have to driven for the costs from both agencies to be equal.