Question

rita is driving her motorhome. it uses 2 gallons of gas for every 18 miles she travels. complete the table below showing the number of gallons used and the distance traveled.
number of gallons\tdistance (miles)
2\t18
5\t□
7\t□
□\t72
10\t□

Explanation:

Step1: Find the unit rate (miles per gallon)

From the first row, 2 gallons give 18 miles. So the rate is $\frac{18}{2} = 9$ miles per gallon.

Step2: Calculate distance for 5 gallons

Multiply gallons by rate: $5 \times 9 = 45$ miles.

Step3: Calculate distance for 7 gallons

Multiply gallons by rate: $7 \times 9 = 63$ miles.

Step4: Calculate gallons for 72 miles

Divide miles by rate: $\frac{72}{9} = 8$ gallons.

Step5: Calculate distance for 10 gallons

Multiply gallons by rate: $10 \times 9 = 90$ miles.

Answer:

For 5 gallons: 45 miles; For 7 gallons: 63 miles; For 72 miles: 8 gallons; For 10 gallons: 90 miles. (Filling the table: 45, 63, 8, 90 respectively in the empty cells)