Question

Miranda’s car travels 40 miles on 1 3/8 gallons of gas. Miranda wants to travel 80 miles. How many gallons of gas will her car use? Show your work.

Answer 1

Using a direct proportion, Miranda's car, which travels 40 miles on 1 3/8 gallons of gas, will require 2 3/4 gallons to travel 80 miles.

Step-by-step explanation:

Miranda's car travels 40 miles on 1 3/8 gallons of gas. To find out how many gallons her car would use to travel 80 miles, we can set up a proportion since the relationship between miles traveled and gallons used is a direct proportion.

Step-by-Step Solution:

1. Firstly, convert the mixed number to an improper fraction: 1 3/8 equals 11/8 gallons.
2. Next, create the proportion. If 40 miles is to 11/8 gallons, then 80 miles is to x gallons.
3. Set up the equation: 40 miles / 11/8 gallons = 80 miles / x gallons.
4. Solve for x by cross-multiplication. This gives us x * 40 = 80 * 11/8.
5. Divide both sides of the equation by 40 to solve for x, which gives us x = (80 * 11/8) / 40.
6. Calculate: x = 22 gallons / 40. This simplifies to 11/4 or 2 3/4 gallons.

Therefore, Miranda's car will use 2 3/4 gallons of gas to travel 80 miles.

Answer 2

All you have to do is double the answer is 40 miles takes 1 3/8 of gas then 80 takes 2 6/8 of gas