Solve the problem.

You traveled 189 miles on 7 gallons of gasoline. At this rate, how many gallons of gasoline would you need to travel 297 miles?

set up a simple ratio,

g/297 = 7/189
g = 7(297)/189
g = .....

To solve this problem, you need to find the gasoline consumption rate in terms of miles per gallon. Once you have the rate, you can use it to determine the number of gallons needed to travel a different distance.

First, calculate the miles per gallon by dividing the total distance traveled (189 miles) by the amount of gasoline used (7 gallons):

Miles per gallon = 189 miles / 7 gallons

Miles per gallon ≈ 27 miles/gallon

Now that you know the gasoline consumption rate is approximately 27 miles per gallon, you can use it to determine the number of gallons needed to travel a different distance, in this case, 297 miles. To do this, divide the distance (297 miles) by the mileage rate (27 miles/gallon):

Gallons needed = 297 miles / 27 miles/gallon

Gallons needed ≈ 11 gallons

Therefore, to travel 297 miles at the given rate, you would need approximately 11 gallons of gasoline.