Question

A motorcycle can travel 69 miles on 1 1/2 gallons of gasoline. write and solve a proportion to determine how many gallons of gasoline this motorcycle will need to travel 350 miles.( round the answer to the nearest tenth)

Answer 1

To find out how many gallons are needed for the motorcycle to travel 350 miles, a proportion is created and solved. The result is that the motorcycle will require approximately 7.6 gallons of gasoline.

Step-by-step explanation:

To determine how many gallons of gasoline a motorcycle will need to travel 350 miles when it travels 69 miles on 1 1/2 gallons, we can set up a proportion. The proportion compares the number of miles the motorcycle can travel with a certain amount of gasoline:

1. Set up the proportion: (69 miles / 1.5 gallons) = (350 miles / x gallons).
2. Solve for x, the unknown number of gallons: 1.5 * 350 = 69 * x.
3. Calculate and simplify: x = (1.5 * 350) / 69.
4. Round the answer to the nearest tenth.

Calculation: x = (1.5 * 350) / 69 = 525 / 69 = approximately 7.6 gallons.

Therefore, the motorcycle will need approximately 7.6 gallons of gasoline to travel 350 miles.