Q:

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.

Accepted Solution

A:
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 coveredIn other words Amount of paint (y) ∝ Area covered (x)y ∝ xAs 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 constantNow from the table to cover the area of 64 square feet, 4 pints of paint is required.Now from the formula 4 = 64xx = [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 pintsTherefore, 16 pints of the paint will be required to cover 256 square feet.Option A is correct.