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

Answer:

Constant of proportionality $= \frac{1}{400}$

Step-by-step 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),

$k = \frac{\frac{1}{4}}{100} = \frac{1}{4}*\frac{1}{100}$

Constant of proportionality $= \frac{1}{400}$

This means that as area of the wall increases, amount of paint increases and the ratio between them would always be $\frac{1}{400}$.