SOLUTION: Car rental agency A will rent a compact car for $35 per day and an additional charge of $0.24 per mile. Car rental agency B will charge only $0.16 per mile but charges $41 per day

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Question 177073This question is from textbook
: Car rental agency A will rent a compact car for $35 per day and an additional charge of $0.24 per mile. Car rental agency B will charge only $0.16 per mile but charges $41 per day. If Adam wanted to rent a car for three days, how many miles would Adam have to drive to make car rental agency B a better bargain? This question is from textbook

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let C%5BA%5D be the cost for agency A and C%5BB%5D be the cost for agency B.
For agency A:
C%5BA%5D+=+35%2Ad%2B0.24%2Am where d = number of days rented and m = number of miles driven.
For agency B:
C%5BB%5D+=+41d%2B0.16m
Adam wants to rent for 3 days so d = 3 and we want to see for how many miles agency B would be cheaper than agency A, or when is...
C%5BB%5D+%3C+C%5BA%5D Substituting the above equations with d=3,
41%283%29%2B0.16m+%3C+35%283%29%2B0.24m Simplify and solve for m.
123%2B0.16m+%3C+105%2B0.24m Subtract 105 from both sides.
18%2B0.16m+%3C+0.24m Subtract 0.16m from both sides.
18+%3C+0.08m Divide both sides by 0.08
225+%3C+m or m+%3E+225
Adam would have to drive more than 225 miles to make agency B a better (cheaper) bargain.