Two car rental agencies are competing. One agency rents cars for 35 dollars per day and 35 cents a mile; the other agency rents cars for 30 dollars per day and 50 cents a mile. For a 9 day trip, how many miles must you travel to have the total cost be the same with each agency? Round to the nearest whole mile , if necessary.

Question

Quizplus · Accepted Answer

To find the number of miles where the total cost is the same for both agencies, set up an equation where the total cost of each agency is equal. Let $x$ be the number of miles driven.Agency 1: $35 \times 9 + 0.35x$Agency 2: $30 \times 9 + 0.50x$Setting them equal to each other:$$35 \times 9 + 0.35x = 30 \times 9 + 0.50x$$Solving for $x$:$$315 + 0.35x = 270 + 0.50x$$$$45 = 0.15x$$$$x = 300$$ miles.

Two Car Rental Agencies Are Competing