Question

latoya is driving her motorhome. it uses 4 gallons of gas for every 24 miles she travels. complete the table below showing the number of gallons used and the distance traveled. the table has columns: number of gallons and distance (miles). rows: 4 gallons → 24 miles; blank gallons → 36 miles; 7 gallons → blank miles; blank gallons → 54 miles; 10 gallons → blank miles.

Explanation:

First, we find the miles per gallon (mpg) rate. From the first row, 24 miles with 4 gallons, so mpg = \( \frac{24}{4} = 6 \) miles per gallon.

Step 1: Find gallons for 36 miles

Let \( g \) be gallons. Using \( \text{distance} = \text{mpg} \times \text{gallons} \), so \( 36 = 6 \times g \). Solving for \( g \), we get \( g = \frac{36}{6} = 6 \).

Step 2: Find distance for 7 gallons

Let \( d \) be distance. \( d = 6 \times 7 = 42 \) miles.

Step 3: Find gallons for 54 miles

Let \( g \) be gallons. \( 54 = 6 \times g \), so \( g = \frac{54}{6} = 9 \).

Step 4: Find distance for 10 gallons

Let \( d \) be distance. \( d = 6 \times 10 = 60 \) miles.

Answer:

For 36 miles: 6 gallons
For 7 gallons: 42 miles
For 54 miles: 9 gallons
For 10 gallons: 60 miles

(The table entries from top to bottom (for the empty cells) are: 6, 42, 9, 60)