Answer:
1/2
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