Question
Use the table and image to answer the question. Cookie A – Cookies per Cup of Sugar Cups Cookies 2 80 3 120 4 160 The yields of cookies per cup of sugar for Cookie A and Cookie B are displayed in the table and the graph. Find the cookie that yields the most cookies from one cup of sugar. How many cookies does Cookie A and Cookie B make from one cup of sugar? (1 point) Responses Cookie B makes more cookies than Cookie A. Cookie B makes 40 cookies, and Cookie A makes 36 cookies from one cup of sugar. Cookie B makes more cookies than Cookie A. Cookie B makes 40 cookies, and Cookie A makes 36 cookies from one cup of sugar. Cookie A makes more cookies than Cookie B from one cup of sugar. Cookie A makes 80 cookies, and Cookie B makes 36 cookies from one cup of sugar. Cookie A makes more cookies than Cookie B from one cup of sugar. Cookie A makes 80 cookies, and Cookie B makes 36 cookies from one cup of sugar. Cookie B makes more cookies than Cookie A. Cookie B makes 72 cookies, and Cookie A makes 40 cookies. Cookie B makes more cookies than Cookie A. Cookie B makes 72 cookies, and Cookie A makes 40 cookies. Cookie A makes more cookies than Cookie B from one cup of sugar. Cookie A makes 40 cookies, and Cookie B makes 36 cookies from one cup of sugar.
Answers
GPT-4o mini
To determine which cookie yields more cookies from one cup of sugar, let's analyze the information given for Cookie A:
According to the table for Cookie A:
- For 2 cups of sugar, it yields 80 cookies.
- For 3 cups of sugar, it yields 120 cookies.
- For 4 cups of sugar, it yields 160 cookies.
To find the yield per cup of sugar for Cookie A, we can calculate as follows:
- For 1 cup of sugar: Since 2 cups yield 80 cookies, 1 cup would yield \( \frac{80}{2} = 40 \) cookies.
- For 1 cup of sugar in general, it's given that the yield for 2 cups is 80 cookies, meaning each cup gives 40 cookies.
Now let’s analyze Cookie B. The response options indicate that Cookie B makes either 36 cookies, 40 cookies, or 72 cookies per cup of sugar.
Since we have already determined Cookie A makes 40 cookies from one cup of sugar, we can compare this to the yields from Cookie B stated in the responses.
Based on the details:
- **If Cookie B makes 36 cookies:** Cookie A yields more cookies (40 > 36).
- **If Cookie B makes 40 cookies:** They are equal (40 = 40).
- **If Cookie B makes 72 cookies:** Cookie B yields more cookies (72 > 40).
The only statements we can confirm from the information given are that Cookie A consistently yields 40 cookies from one cup of sugar, and Cookie B's yield varies.
Given the responses, the correct statement is: **Cookie A makes more cookies than Cookie B from one cup of sugar. Cookie A makes 80 cookies, and Cookie B makes 36 cookies from one cup of sugar.**
However, since we established that Cookie A yields 40 cookies per cup, it indicates that Cookie B's yield is less than that for the particular responses. Therefore, we’ll confirm the best fit is:
**Cookie A makes 80 cookies, and Cookie B makes 36 cookies from one cup of sugar.**
According to the table for Cookie A:
- For 2 cups of sugar, it yields 80 cookies.
- For 3 cups of sugar, it yields 120 cookies.
- For 4 cups of sugar, it yields 160 cookies.
To find the yield per cup of sugar for Cookie A, we can calculate as follows:
- For 1 cup of sugar: Since 2 cups yield 80 cookies, 1 cup would yield \( \frac{80}{2} = 40 \) cookies.
- For 1 cup of sugar in general, it's given that the yield for 2 cups is 80 cookies, meaning each cup gives 40 cookies.
Now let’s analyze Cookie B. The response options indicate that Cookie B makes either 36 cookies, 40 cookies, or 72 cookies per cup of sugar.
Since we have already determined Cookie A makes 40 cookies from one cup of sugar, we can compare this to the yields from Cookie B stated in the responses.
Based on the details:
- **If Cookie B makes 36 cookies:** Cookie A yields more cookies (40 > 36).
- **If Cookie B makes 40 cookies:** They are equal (40 = 40).
- **If Cookie B makes 72 cookies:** Cookie B yields more cookies (72 > 40).
The only statements we can confirm from the information given are that Cookie A consistently yields 40 cookies from one cup of sugar, and Cookie B's yield varies.
Given the responses, the correct statement is: **Cookie A makes more cookies than Cookie B from one cup of sugar. Cookie A makes 80 cookies, and Cookie B makes 36 cookies from one cup of sugar.**
However, since we established that Cookie A yields 40 cookies per cup, it indicates that Cookie B's yield is less than that for the particular responses. Therefore, we’ll confirm the best fit is:
**Cookie A makes 80 cookies, and Cookie B makes 36 cookies from one cup of sugar.**