Question

There is a proportional relationship between the area of a wall and the amount of paint needed to cover it.

A. What is the constant of proportionality for that relationship? Explain.

Answer 1

Constant of proportionality
`= (1)/(400)`

Explanation:

A. The constant of proportionality can be calculated as the ratio of y to x. In this case, y = amount of paint, while x = the area of the wall

The area of the wall determines the amount of paint needed to cover the wall.

Constant of proportionality, k = y/x.

Any given pair cam be used as y and x to find k.

Thus, using (100, ¼),

`k = ((1)/(4))/(100) = (1)/(4)*(1)/(100)`

Constant of proportionality
`= (1)/(400)`

This means that as area of the wall increases, amount of paint increases and the ratio between them would always be
`(1)/(400)`.