Question

Dwayne used 2 gallons of paint to cover 750 square feet and 5 gallons of paint to cover 1,875 square feet if the area covered y varies directly with the amount of paint used x then how many gallons of paint will be used to cover 2,625 square feet?

Answer 1

To find how many gallons of paint will be used to cover 2625 square feet, we can create a proportion using the given information: 2 gallons / 750 square feet = 5 gallons / 1875 square feet. Solving for x, we get x = 7 gallons.

Step-by-step explanation:

To find the relationship between the amount of paint used and the area covered, we can create a proportion using the given information:

2 gallons / 750 square feet = 5 gallons / 1875 square feet

To find how many gallons of paint will be used to cover 2625 square feet, we can set up another proportion using the same ratio:

x gallons / 2625 square feet = 5 gallons / 1875 square feet

Cross-multiplying and solving for x, we get:

x = (2625 * 5) / 1875 = 7 gallons

Therefore, 7 gallons of paint will be used to cover 2625 square feet.