Question

determine the constant of proportionality for the relationship and complete the table. what does the constant of proportionality tell you about the situation? 1. the constant of proportionality is
red paint (cups) | blue paint (cups)
2 | 3

Explanation:

Step1: Recall the formula for constant of proportionality

For a proportional relationship $y = kx$, $k=\frac{y}{x}$. Here $x$ is red - paint (cups) and $y$ is blue - paint (cups).

Step2: Calculate the constant of proportionality

Given $x = 2$ and $y = 3$, then $k=\frac{y}{x}=\frac{3}{2}=1.5$.

Answer:

The constant of proportionality is $1.5$. It means that for every 1 cup of red paint, 1.5 cups of blue paint are used in the paint - mixing situation.