Car Rental Cost Comparison Between ABC and XYZ Car Rental Companies

Question:

At what number of miles is the cost of renting a car the same at both ABC Car Rentals and XYZ Car Rental?

Answer:

The cost of renting a car is the same at both companies when the number of miles is 37.5.

ABC Car Rentals advertises a rental car cost of $25 per day plus a charge of $0.10 per mile, while XYZ Car Rental advertises a price of $40 per day plus $0.50 per mile. To find the number of miles at which the cost of renting a car is the same for both companies, we can set up an equation.

Let's represent the number of miles as 'm'. For ABC Car Rentals, the cost would be $25 + $0.10m. For XYZ Car Rental, the cost would be $40 + $0.50m. By setting these two expressions equal to each other, we get:

$25 + $0.10m = $40 + $0.50m

To solve for 'm', we isolate it on one side of the equation:

$0.40m = $15

By dividing both sides by $0.40, we find that 'm' is equal to 37.5 miles. Therefore, the cost of renting a car is the same at both companies when the number of miles is 37.5.