Question

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
quadratic
D)
exponential

Answer 1

A) linear

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.