Question

The amount of water an electric dishwasher uses to wash dishes varies directly with the number of loads of dishes. If the dishwasher uses 33 gallons of water to wash 4 loads of dishes, how many gallons of water will the dishwasher use to wash 10 loads of dishes?

A) 10.125 gallons
B) 24.75 gallons
C) 41.25 gallons
D) 82.5 gallons

Answer 1

The dishwasher will use 82.5 gallons of water to wash 10 loads of dishes.

Step-by-step explanation:

The problem states that the amount of water an electric dishwasher uses to wash dishes varies directly with the number of loads of dishes. This means that as the number of loads of dishes increases, the amount of water used also increases.

We can use the given information to set up a proportion to find how many gallons of water the dishwasher will use to wash 10 loads of dishes.

Let x represent the amount of water used to wash 10 loads of dishes.

Since the amount of water used varies directly with the number of loads of dishes, we can write the proportion:

33/4 = x/10

To solve for x, we can cross multiply:

(33)(10) = 4x

330 = 4x

Now we can solve for x by dividing both sides of the equation by 4:

x = 330/4 = 82.5 gallons

Therefore, the dishwasher will use 82.5 gallons of water to wash 10 loads of dishes.