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Can someone help me write a math formula?

This question I tried to figure out with one of my friends the other day who is good at math, and he couldn't help me write it. The question I had was, if I trade in my truck for a more fuel efficient vehicle, how many miles would the vehicle have to drive to pay for itself in gas savings. We were assuming the vehicle was 14000 dollars, and also we were assuming that gas was 3.00/gallon. My truck gets an average of 17 mpg, the car I was looking at gets 36.

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  • 1 decade ago
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    By switching from the truck to the car, you increased your vehicle's efficiency from 17 to 36, that's an increase of 19 mpg. So you get an extra 19 miles for every gallon, i.e. an extra 19 miles for every $3.00 spent on gas.

    So if the car costs $14,000, how many gallons of gas could you buy for that? Divide 14000 by 3 and you get about 4667 gallons. And multiply that by 19 and you get about 86,667 miles.

    (14000 / 3) * (36 - 17) =~ 86,667

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