Apex Car Rental company charges a flat fee of $40.00 per day plus $0.75 per mile to rent a car. Jason Car Rental company charges a flat fee of $64.00 per day plus $0.60 per mile to rent a car. If a car is rented for three days, at how many miles would the rental charges of the two companies be the same?
Correct answer: A. 480
- A. 480
- B. 450
- C. 420
- D. 380
Explanation
Let's denote the number of miles driven as x. The rental charges for Apex Car Rental would be: Flat fee: $40 x 3 = $120 Mileage charge: $0.75x Total rental cost for Apex Car Rental: $120 + $0.75x The rental charges for Jason Car Rental would be: Flat fee: $64 x 3 = $192 Mileage charge: $0.60x Total rental cost for Jason Car Rental: $192 + $0.60x Now, we want to find the number of miles where the rental charges for both companies are the same. $120 + $0.75x = $192 + $0.60x Simplifying this equation, we get: $0.15x = $72 x = 480 Therefore, the answer is A) 480. At 480 miles driven, the rental charges for both companies would be the same.
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