Question

You plan to take a 2000-mile trip in your car, which averages 32 miles per gallon. How many gallons of gasoline should you expect to use? Would a car that has only half the gas mileage (16 miles per gallon) require twice as much gasoline for the same trip? Explain.

Answer 1

I expect to use 62.5 gallons. 2000/32 is 62.5

Yes, a car with half the gas mileage would require twice as much gasoline, because it needs more gasoline to go as far as the other car, which is wayy more efficient, if I may add.

Answer 2

Step-by-step explanation:

1) Distance to be covered = 2000 mile

Gas mileage of the car = 32 mil/gal

For 1 gallon of gasoline , car covers 32 miles.

Then gasoline required to cover 1 mile will be:

$\frac{1}{32} gal$

Gasoline required to cover 2000 mile :V

$V=\frac{1}{32}\times 2000 gal=62.5 gal$

62.5 gallons of gasoline should you expected to be used.

2) Distance to be covered = 2000 mile

Gas mileage of the car = 16 mil/gal

For 1 gallon of gasoline , car covers 16 miles.

Then gasoline required to cover 1 mile will be:

$\frac{1}{16} gal$

Gasoline required to cover 2000 mile :V'

$V'=\frac{1}{16}\times 2000 gal=125 gal$

$\frac{V}{V'}=\frac{62.5 gal}{125 gal}$

V' = 2 × V

Yes, the car with only half the gas mileage that is 16 mile /gal will require twice as much as gasoline for the same trip by the car with mileage of 32 mile/gal.