Question

Car A gets 25 miles per gallon and costs $13,000. Car B is a hybrid that gets 45 miles per gallon, but costs $25,000. Assume you drive 15,000 miles per year and that gas will cost $4 per gallon for the foreseeable future. How many years will it take for Car B's better fuel economy to outweigh its higher initial cost?

Answer 1

Answer: The answer is B) 11.25

Step-by-step explanation: I got it right

Answer 2

The initial cost of car B is 25,000.

The cost of fuel consumed in n years by car B is

`=n* (15000\:miles)/(year)* (1\:gallon)/(45\:miles)* (4\:dollars)/(gallon)`

Equate the initial cost to the cost of fuel

`25000=n* (15000\:miles)/(year)* (1\:gallon)/(45\:miles)* (4\:dollars)/(gallon)`


`25000=(4000n)/(3)`


`n=(25000\left(3\right))/(4000)`


`n=18.75`

It will take 18.75 years for Car B's better fuel economy to outweigh its higher initial cost.