Problema Solution
Truck rental company A charges $15 plus 15 cents per mile. Truck rental company B charges $35 plus 12 cents per mile. How far must you drive before company B becomes preferable.
Answer provided by our tutors
let
x = the miles driven
Truck rental company A: the cost will be (15 + 0.15*x) dollars (note that 15 cents are $0.15)
Truck rental company B: the cost will be (35 + 0.12*x) dollars (note that 12 cents are $0.12)
the cost of company B < = the cost of company A
35 + 0.12*x <= 15 + 0.15*x
35 - 15 <= 0.15*x - 0.12*x
20 <= 0.03*x
2000/3 <=x
666 2/3 <=x
of x is integer then x > = 667
I must drive at least 667 miles before company B becomes preferable.
let
x = the miles driven
Truck rental company A: the cost will be (15 + 0.15*x) dollars (note that 15 cents are $0.15)
Truck rental company B: the cost will be (35 + 0.12*x) dollars (note that 12 cents are $0.12)
the cost of company B < = the cost of company A
35 + 0.12*x <= 15 + 0.15*x
35 - 15 <= 0.15*x - 0.12*x
20 <= 0.03*x
2000/3 <=x
666 2/3 <=x
of x is integer then x > = 667
I must drive 667 miles before company B becomes preferable.