Question

a familys dishwasher uses the same number of gallons of water for each load. the table shows how many gallons of water, g, the dishwasher uses for n loads of dishes. what equation can you use to represent the relationship shown in the table? show your work. dishwasher water use number of loads, n gallons used, g 4 18.0 5 22.5 6 27.0 7 31.5

Explanation:

Step1: Find the rate of water per load

To find the rate, we can take the gallons used and divide by the number of loads. For the first row, \( \frac{18.0}{4} = 4.5 \). Let's check with the second row: \( \frac{22.5}{5} = 4.5 \), third row: \( \frac{27.0}{6} = 4.5 \), fourth row: \( \frac{31.5}{7} = 4.5 \). So the rate is 4.5 gallons per load.

Step2: Form the equation

Since the number of gallons \( g \) is equal to the rate (4.5) multiplied by the number of loads \( n \), the equation is \( g = 4.5n \).

Answer:

The equation is \( g = 4.5n \)