Nathan is making chocolate chip cookies, the recipe calls for 2 cup chocolate chips and will make 4 dozen cookies. He increases the recipe to make 6 dozen cookies and will need 3 cups chocolate chips. Find the constant of proportionality

1/2

Step-by-step explanation:

Nathan is making chocolate chip cookies, the recipe calls for 2 cup chocolate chips and will make 4 dozen cookies. He increases the recipe to make 6 dozen cookies and will need 3 cups chocolate chips. Find the constant of proportionality

From the above question, we can see that the Number of Chocolate chips is directly proportional to the number of Dozen cookies

Hence:

C = Chocolate chips

D = Dozen cookies

Hence:

C ∝ D

C = kD

Where k = Constant of Proportionality.

We are told that , the recipe calls for 2 cup chocolate chips and will make 4 dozen cookies.

Hence:

2 = 4k

k = 2/4

k = 1/2

Also, He increases the recipe to make 6 dozen cookies and will need 3 cups chocolate chips.

3 = 6k

k = 3/6

k = 1/2

Therefore, from the calculations above, the constant of proportionality is 1/2

3.76%

step-by-step explanation: