SOLUTION: You can rent a car from company A for $32 a day plus $0.09 a mile. company B charges $2 a day plus $0.22 a mile. How many miles (to the nearest mile) can be driven per day if us

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: You can rent a car from company A for $32 a day plus $0.09 a mile. company B charges $2 a day plus $0.22 a mile. How many miles (to the nearest mile) can be driven per day if us      Log On

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Question 886641: You can rent a car from company A for $32 a day plus $0.09 a mile. company B charges $2 a day plus $0.22 a mile. How many miles (to the nearest mile) can be driven per day if using Company B to yield the least rental charge?
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
A = 32 + .09x
B = 2 + .22x
When are they equal?
32 + .09x = 2 + .22x
Subtract .09x from each side
32 = 2 + .13x
Subtract 2 from each side
30 = .13x
Divide each side by .13
230.769 = x
Rounded to 231 miles. Driving 231 miles, there is an equal charge. More than that and Company B is more expensive. Less than that and Company A is more expensive.
Your question, though, asked, "How many miles (to the nearest mile) can be driven per day if using Company B to yield the least rental charge?" If that is actually what is written, the answer is 0. 0 miles means no charges at all.