Question

ido is driving his motorhome. it uses 3 gallons of gas for every 27 miles he travels. complete the table below showing the number of gallons used and the distance traveled. number of gallons: blank, 3, 6, blank, 10 distance (miles): 9, 27, blank, 81, blank

Explanation:

Step1: Find the unit rate

First, find the miles per gallon. From the given data, 3 gallons give 27 miles, so the rate is $\frac{27}{3} = 9$ miles per gallon.

Step2: Calculate gallons for 9 miles

If distance is 9 miles, gallons = $\frac{9}{9} = 1$ gallon.

Step3: Calculate distance for 6 gallons

For 6 gallons, distance = $6\times9 = 54$ miles.

Step4: Calculate gallons for 81 miles

Gallons for 81 miles = $\frac{81}{9} = 9$ gallons.

Step5: Calculate distance for 10 gallons

Distance for 10 gallons = $10\times9 = 90$ miles.

Answer:

Number of gallons: 1, 3, 6, 9, 10
Distance (miles): 9, 27, 54, 81, 90