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

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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) About Me  (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) About Me  (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
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You are renting for 1 day
Let +n+ = the number of miles driven
+32%2A1+%2B+.09n+=+18%2A1+%2B+.12n+
+.03n+=+32+-+18+
+.03n+=+14+
+n+=+466.667+
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I'll reduce the number of miles driven and
see if the B car costs less than the A car
-------------------------------------
+n+=+466+
A car:
+32%2A1+%2B+.09%2A466+=+32+%2B+41.94+
+32+%2B+41.94+=+73.94+
B car:
+18%2A1+%2B+.12%2A466+=+18+%2B+55.92+
+18+%2B+55.92+=+73.92+
---------------------------------
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:
+graph%28+500%2C+500%2C+-60%2C+600%2C+-10%2C+110%2C+32+%2B+.09x%2C+18+%2B+.12x+%29+

Answer by MathTherapy(10552) About Me  (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 %22+%22+%3C+466%262%2F3. 
Maximum WHOLE NUMBER miles Company A car can be driven is: highlight_green%28466%29.