Question

You are purchasing a new car. In order to determine which car will provide maximum savings, you’ve researched miles per gallon (mpg) ratings of cars. If gas is $3.45 per gallon and you drive an average of 18,000 miles per year, the following rational equation is given:

d. The other car you are considering buying will get 33 mpg, but it costs $3000 more than the 27 mpg car. Would the additional savings in gas be worth the extra $3000 over a 5 year loan?
e. What gas mileage would your new car have to be if you saved $800 per year over your 18 mpg current car?

Answer 1

18000/x defines the gallons of the gas consumed by the old car in one year.

Explanation:

If I purchase a car, I will definitely concentrate on a factor that is gas consumed by the car in a year.

As per statement given in the question if gas is $3.45 per gallon and I drive an average of 18000 miles per year.

If x miles per gallons is the average of the old car and y miles per gallons is the average of of new car.

Then total difference in gallons of the gas consumed by the old and new cars will be represented by the equation.

g(x) = 3.45 - 3.45

Here, 18000/x defines total number of gallons of the gas consumed by the old car in one year.