Two car rental agencies are competing.One agency rents cars for 50 dollars per day and 35 cents a mile; the other agency rents cars for 35 dollars per day and 45 cents a mile.For a 10 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

Let x be the number of miles traveled during the 10-day trip. The total cost of renting a car from the first agency is 50*10 + 0.35x dollars. The total cost of renting a car from the second agency is 35*10 + 0.45x dollars. We want these two costs to be equal, i.e.:

50*10 + 0.35x = 35*10 + 0.45x

Simplifying and solving for x gives:

0.1x = 150

x = 1500 miles.

Therefore, you must travel 1500 miles to have the total cost be the same with each agency, which is option B.

Two Car Rental Agencies Are Competing