MATH SOLVE

3 months ago

Q:
# 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: g(x)= 3.45 (18,000/old miles per gallon)-3.45(18,000/new miles per gallon) In the formula what do you find when you divide 18,000/old miles per gallon?

Accepted Solution

A:

Answer: [tex]\frac{18000}{x}[/tex] defines the gallons of the gas consumed by the old car in one year.Step-by-step 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[tex](\frac{18000}{x})[/tex] - 3.45[tex](\frac{18000}{y} )[/tex]Here, [tex]\frac{18000}{x}[/tex] defines total number of gallons of the gas consumed by the old car in one year.