SOLUTION: Company A rents cars for $32 per day and 9� per mile driven. Company B rents cars for $18 per day and 12� per mile driven. You want to rent a car for one day. Find the maximum numb

Question 1051992: Company A rents cars for $32 per day and 9� per mile driven. Company B rents cars for $18 per day and 12� per mile driven. You want to rent a car for one day. Find the maximum number of miles you can drive a Company B car if it is to cost you less than a Company A car. (Give your answer as a whole number.)
Found 3 solutions by addingup, josmiceli, MathTherapy:
Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
32+0.09x > 18+0.12x
14 > 0.03x
x < 467

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
First I would find the number of miles
driven which makes the cost of the 2 plans equal
----------------------------
You are renting for 1 day
Let = the number of miles driven

-------------------
I'll reduce the number of miles driven and
see if the B car costs less than the A car
-------------------------------------

A car:

B car:

---------------------------------
Car B costs less, so the most miles you can
drive so that a B car costs less than an A car is 466 mi
--------------------
Here's a plot of the 2 plans for 1 day:

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Company A rents cars for $32 per day and 9� per mile driven. Company B rents cars for $18 per day and 12� per mile driven. You want to rent a car for one day. Find the maximum number of miles you can drive a Company B car if it is to cost you less than a Company A car. (Give your answer as a whole number.)

Maximum miles Company A car can be driven is < 466.6666667, or .
Maximum WHOLE NUMBER miles Company A car can be driven is: .
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