High School

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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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Rewritten by : Barada