Answer:
Option A.
Step-by-step 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 = [tex]\frac{4}{64}=\frac{1}{16}[/tex]
Now we have to calculate the amount of paint required to cover the area of 256 square feet.
y = [tex]\frac{1}{16}\times 256[/tex]
y = 16 pints
Therefore, 16 pints of the paint will be required to cover 256 square feet.
Option A is correct.
