The number of cups of strawberries in a shortcake recipe is proportional to the number of cups of sugar in the recipe. The recipe uses 5 cups of strawberries per 1/4 cup of sugar. What is the constant of proportionality for the relationship between cups of strawberries and cups of sugar?

Constant of proportionality, k = 20

Step-by-step explanation:

number of cups of strawberries in a shortcake recipe is proportional to the number of cups of sugar in the recipe

Let

number of cups of strawberries = x

number of cups of sugar = y

x = ky

Where

k = constant of proportionality

number of cups of strawberries = 5

number of cups of sugar = 1/4

x = ky

5 = k * 1/4

5 = 1/4k

Divide both sides by 1/4

k = 5 ÷ 1/4

= 5 × 4/1

= 20

k = 20

Constant of proportionality, k = 20

8121 because

130,000 divided by 16 is 8121