Final answer:
The fraction that best represents the ratio of cups of peanut butter to the number of cookies in the recipe is 1/6, which corresponds to option C.
Step-by-step explanation:
The student's question is asking to find the ratio of cups of peanut butter to the number of cookies made from the recipe. To find this ratio, we need to divide the amount of peanut butter by the number of cookies. Since the recipe calls for 2 cups of peanut butter to make 1 dozen (12) cookies, we can write this as a fraction:
2 cups peanut butter / 12 cookies = ¼ cup peanut butter per cookie.
This simplifies to 1/6 cup of peanut butter per cookie since:
2 cups / 12 cookies = 1/6 cup peanut butter per cookie.
Therefore, the fraction that best represents the ratio of cups of peanut butter to number of cookies is C. 1/6.