High School

You begin painting your house with 10 gallons of paint you purchased at the hardware store. Each gallon of paint covers 400 square feet of surface area. If \( g \) is the gallons of paint used for painting \( x \) square feet, which type of model would best describe the relationship between \( g \) and \( x \)?

A) Linear
B) Radical
C) Quadratic
D) Exponential

Answer :

Answer:

A) linear

Step-by-step explanation:

Let the gallons of paint be represented by g, and the area by x.

Each gallon of paint covers 400 square feet of surface area.

⇒ x = 400g

So that; when g = 1,

x = 400 square feet

when g = 5,

x = 400 x 5

= 2000 square feet

when g = 10,

x = 400 x 10

= 4000 square feet

The relationship between the variables is linear because g and x increases at a constant rate.

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