Question

A company is deciding between two different car models as it updates its fleet of cars. The purchase price for model A is $30,000, and the price for model B is $35,000. However, model A has an average gas mileage of 27 miles per gallon while model B’s is 36 miles per gallon. Each car in the fleet drives an average of 20,000 miles each year. If a gallon of gas costs $4, during which year of driving is the extra cost for model B made up by its superior gas mileage?

Fourth year
Fifth year
Sixth year
Seventh year
Eighth year

when is
30,000 + 4(20,000/27)t = 35000 + 4(20,000/36)t ? , where t is the number of years

30000 + 2962.96t = 35000 + 2222.22t
740.74t = 5000
t = 6.75 years

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