Question

If Mr. Argo went 20 miles on 2.5 gallons of gas, and he wants to know how far he can go on 9 gallons of gas. Which proportion would be helpful to solve the problem?

Answer 1

The student asked about finding the distance Mr. Argo can travel with 9 gallons of gas based on a known fuel efficiency of 20 miles on 2.5 gallons. A proportion can be used by comparing the miles per gallon ratio, resulting in the equation 20 miles/2.5 gallons = x miles/9 gallons. Solving for 'x' will give the total distance that can be traveled with 9 gallons of gas.

Step-by-step explanation:

If Mr. Argo went 20 miles on 2.5 gallons of gas, and he wants to know how far he can go on 9 gallons of gas, we need to set up a proportion to solve the problem. The proportion compares the distance he can travel with a certain amount of gas, which is his car's fuel efficiency. To find the distance he can travel on 9 gallons, we use the proportion:

1. Write down the known fuel efficiency: 20 miles/2.5 gallons.
2. Set up the proportion with 'x' being the unknown distance he can travel on 9 gallons: 20 miles/2.5 gallons = x miles/9 gallons.
3. Cross multiply to solve for 'x': (20 miles) * (9 gallons) = (2.5 gallons) * (x miles).
4. Divide both sides by 2.5 gallons to find 'x': x = (20 miles * 9 gallons) / 2.5 gallons.
5. Calculate 'x' to find the distance Mr. Argo can travel with 9 gallons of gas.

By doing the math, Mr. Argo will be able to determine how far he can go with 9 gallons of gasoline based on his vehicle’s fuel economy.