Question
Use the table and image to answer the question.
Number of Cookies Produced for Each Cup of Sugar Used in the Recipe for Cookie A
Cookie A – Cookies per Cup of Sugar
Cups Cookies
2 80
3 120
4 160
An illustration shows Quadrant 1 of a coordinate plane. The x-axis is labeled Cups and ranges from 0 to 6 in one unit increments. The y-axis is labeled Cookies and ranges from 0 to 192 in 12 unit increments. The graph is titled Cookies per Cup of Sugar. A line connects six points plotted on the graph. The coordinates of the plotted points are left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 36 right parenthesis, left parenthesis 2 comma 72 right parenthesis, left parenthesis 3 comma 108 right parenthesis, left parenthesis 4 comma 144 right parenthesis, and left parenthesis 5 comma 180 right parenthesis. An upward arrow points to 1 on the x-axis.
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 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 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 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.
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.
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Number of Cookies Produced for Each Cup of Sugar Used in the Recipe for Cookie A
Cookie A – Cookies per Cup of Sugar
Cups Cookies
2 80
3 120
4 160
An illustration shows Quadrant 1 of a coordinate plane. The x-axis is labeled Cups and ranges from 0 to 6 in one unit increments. The y-axis is labeled Cookies and ranges from 0 to 192 in 12 unit increments. The graph is titled Cookies per Cup of Sugar. A line connects six points plotted on the graph. The coordinates of the plotted points are left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 36 right parenthesis, left parenthesis 2 comma 72 right parenthesis, left parenthesis 3 comma 108 right parenthesis, left parenthesis 4 comma 144 right parenthesis, and left parenthesis 5 comma 180 right parenthesis. An upward arrow points to 1 on the x-axis.
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 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 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 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.
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.
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Answers
GPT-4o mini
To answer the question regarding the number of cookies produced for each cup of sugar used in the recipes for Cookie A and Cookie B, we need to summarize the information provided:
### Cookie A:
- **2 cups of sugar** yields **80 cookies**, which gives us:
- 80 cookies / 2 cups = **40 cookies per cup**
Now, looking at the additional data from the table:
- **3 cups** yields **120 cookies** (this corroborates the previous calculation: 120 / 3 = 40 cookies per cup)
- **4 cups** yields **160 cookies** (160 / 4 = 40 cookies per cup)
Thus, for Cookie A, we find it consistently yields **40** cookies for each cup of sugar.
### Cookie B:
From the graph provided, we analyze the point at **1 cup of sugar**, where it appears that **36** cookies are produced.
Now, comparing the number of cookies produced per cup for both Cookie A and Cookie B:
- **Cookie A** makes **40 cookies per cup**.
- **Cookie B** makes **36 cookies per cup**.
### Conclusion:
Cookie A produces more cookies than Cookie B for one cup of sugar. Therefore, the correct response is:
**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.**
### Cookie A:
- **2 cups of sugar** yields **80 cookies**, which gives us:
- 80 cookies / 2 cups = **40 cookies per cup**
Now, looking at the additional data from the table:
- **3 cups** yields **120 cookies** (this corroborates the previous calculation: 120 / 3 = 40 cookies per cup)
- **4 cups** yields **160 cookies** (160 / 4 = 40 cookies per cup)
Thus, for Cookie A, we find it consistently yields **40** cookies for each cup of sugar.
### Cookie B:
From the graph provided, we analyze the point at **1 cup of sugar**, where it appears that **36** cookies are produced.
Now, comparing the number of cookies produced per cup for both Cookie A and Cookie B:
- **Cookie A** makes **40 cookies per cup**.
- **Cookie B** makes **36 cookies per cup**.
### Conclusion:
Cookie A produces more cookies than Cookie B for one cup of sugar. Therefore, the correct response is:
**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.**