Question

Frank is driving his motorhome. It uses 2 gallons of gas for every 14 miles he travels.

Complete the table below showing the number of gallons used and the distance traveled.

Number of gallons _____ 3 6 _____ 10
Distance (miles) 9 27 _____ 81 _____

Answer 1

To complete the table, we can use proportions to find the number of gallons used for different distances. We can set up a proportion with the given ratio of 2 gallons for every 14 miles, and solve for the unknown quantity. Using the calculations, we can complete the table.

Step-by-step explanation:

In this question, we are given that Frank's motorhome uses 2 gallons of gas for every 14 miles traveled. We need to complete the table showing the number of gallons used and the distance traveled.

1. To find the number of gallons used when the distance traveled is 9 miles, we can set up a proportion: 2 gallons/14 miles = x gallons/9 miles. Cross-multiplying gives us: 2 * 9 = 14 * x. Solving for x gives us the number of gallons used: x = 18/14 = 1.29 gallons.
2. The distance traveled is already given as 27 miles, so we can fill that in the table.
3. To find the number of gallons used when the distance traveled is 81 miles, we can set up a proportion again: 2 gallons/14 miles = x gallons/81 miles. Cross-multiplying gives us: 2 * 81 = 14 * x. Solving for x gives us the number of gallons used: x = 162/14 = 11.57 gallons.

Using these calculations, we can complete the table:

Number of gallons3611.5710Distance (miles)92781?