Question
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Compare Proportional Relationships Quick Check
3 of 53 of 5 Items
Question
Use the table and image to answer the question.
This table shows the 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 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.
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 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.
Compare Proportional Relationships Quick Check
3 of 53 of 5 Items
Question
Use the table and image to answer the question.
This table shows the 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 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.
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 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.
Answers
GPT-4o mini
To find the number of cookies produced from one cup of sugar for Cookie A and Cookie B, let's examine the information given.
From the table for Cookie A:
- For 2 cups of sugar, 80 cookies are made.
- For 3 cups of sugar, 120 cookies are made.
- For 4 cups of sugar, 160 cookies are made.
From this data, we can determine the number of cookies made per cup of sugar for Cookie A:
- From the pattern, each additional cup of sugar adds 40 cookies. Therefore:
- For 1 cup of sugar, Cookie A would produce 40 cookies (since 80 cookies are made with 2 cups, and that’s 40 cookies per cup).
Now, from the graph for Cookie B (the coordinates given show the number of cookies produced for different cups of sugar):
- (1, 36): This indicates that for 1 cup of sugar, Cookie B produces 36 cookies.
Now we can summarize the results:
- Cookie A makes 40 cookies from 1 cup of sugar.
- Cookie B makes 36 cookies from 1 cup of sugar.
### Conclusion
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.
So 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.**
From the table for Cookie A:
- For 2 cups of sugar, 80 cookies are made.
- For 3 cups of sugar, 120 cookies are made.
- For 4 cups of sugar, 160 cookies are made.
From this data, we can determine the number of cookies made per cup of sugar for Cookie A:
- From the pattern, each additional cup of sugar adds 40 cookies. Therefore:
- For 1 cup of sugar, Cookie A would produce 40 cookies (since 80 cookies are made with 2 cups, and that’s 40 cookies per cup).
Now, from the graph for Cookie B (the coordinates given show the number of cookies produced for different cups of sugar):
- (1, 36): This indicates that for 1 cup of sugar, Cookie B produces 36 cookies.
Now we can summarize the results:
- Cookie A makes 40 cookies from 1 cup of sugar.
- Cookie B makes 36 cookies from 1 cup of sugar.
### Conclusion
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.
So 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.**