Question

A painter made the table below to show the amount of paint it takes to cover a certain amount of square feet. The amount of paint varies directly with the area of each wall.

Answer 1

Just Pick 16 Pints

Explanation:

Answer 2

Option A.

Explanation:

The table made by the painter shows the amount of paint required to cover a certain amount of area of the wall.

Amount of paint is directly proportional to the area covered

In other words Amount of paint (y) ∝ Area covered (x)

y ∝ x

As we know when proportionality sign is removed, a constant known as proportionality constant is multiplied with the variable.

So y = k(x) where k is the proportionality constant

Now from the table to cover the area of 64 square feet, 4 pints of paint is required.

Now from the formula

4 = 64x

x =
`(4)/(64)=(1)/(16)`

Now we have to calculate the amount of paint required to cover the area of 256 square feet.

y =
`(1)/(16)* 256`

y = 16 pints

Therefore, 16 pints of the paint will be required to cover 256 square feet.

Option A is correct.