Given:
A motorist traveled 250 miles on 11 gallons of gas.
To Find:
In the same vehicle, the distance that can be traveled in 16 gallons.
Answer:
Rounding to the nearest tenth, the distance traveled on 16 gallons of gas is 363.5 miles.
Explanation:
We first find the number of miles that can be traveled on 1 mile of gas.
We do this by using the unitary method.
Given that in 11 gallons, 250 miles can be traveled in a certain vehicle.
So in 1 gallon, 250 ÷ 11 miles can be traveled. This is roughly equal to 22.72.
Next we will calculate how much distance he can go in 16 gallons. We multiply the distance traveled in 1 gallon by 16.
That is, in 16 gallons, the number of miles that can be traveled is 22.72 x 16 = 363.52.
Rounding to the nearest tenth, the distance traveled on 16 gallons of gas is 363.5 miles.