The table shows a proportional relationship between cups of purple paint and cups of yellow paint in a mixture. What is the constant of proportionality between purple and yellow paint?

A

3
B

9
C

4
D

1

1 answer

To find the constant of proportionality, we can compute the ratio of purple paint to yellow paint for one pair of values in the table. Let's take the first pair: 2 cups of purple paint and 6 cups of yellow paint.

The ratio of purple paint to yellow paint is 2/6 = 1/3.

Since this ratio is constant for all pairs in the table, we can conclude that the constant of proportionality between purple and yellow paint is 1/3.

Therefore, the answer is: A) 1/3.