Question

Mel is making a pitcher of lemonade for her friends. She uses 5 cups

of water per 2 scoops of lemonade mix. What is the constant of
proportionality for the relationship of cups of water to scoops of
lemonade mix?

Answer 1

The constant of proportionality for the relationship of cups of water to scoops of lemonade mix is 2.5 cups per scoop.

Step-by-step explanation:

The constant of proportionality can be found by setting up a proportion between the cups of water and scoops of lemonade mix. Since Mel uses 5 cups of water per 2 scoops of lemonade mix, the proportion is:

5 cups / 2 scoops = x cups / 1 scoop

To solve for x, cross multiply:

5 * 1 = 2 * x

5 = 2x

x = 2.5

Therefore, the constant of proportionality for the relationship of cups of water to scoops of lemonade mix is 2.5 cups per scoop.