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

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) (Show Source): You can put this solution on YOUR website!
Let be the cost for agency A and be the cost for agency B.
For agency A:
where d = number of days rented and m = number of miles driven.
For agency B:

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...
Substituting the above equations with d=3,
Simplify and solve for m.
Subtract 105 from both sides.
Subtract 0.16m from both sides.
Divide both sides by 0.08
or
Adam would have to drive more than 225 miles to make agency B a better (cheaper) bargain.

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