Question
Cookies per Cup of Sugar
Cookies y cups x
1(1,36)
2(2, 72)
3(3, 180)
4(4,144)
5(5,180)
Cookie A-Cookies per Cup of Sugar
Cups, cookies
2, 80
3, 120
4, 160
The yields of cookies per cup of sugar for Cookle 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)
Cookie A makes more cookies than Cookie B from one cup of sugar Cookie A makes 40 cookies, and Cookie B makes 30 cookies from one cup of sugar
Cookie B makes more cookies than Cookie A Cookie B makes 40 cookies, and Cookie A makes 30 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
Cooke A makes more cookies than Cookie B from one cup of sugar. Cookie A makos 80 cookies, and Cookie B makes 36 cookies from one cup of sugar
Cookies y cups x
1(1,36)
2(2, 72)
3(3, 180)
4(4,144)
5(5,180)
Cookie A-Cookies per Cup of Sugar
Cups, cookies
2, 80
3, 120
4, 160
The yields of cookies per cup of sugar for Cookle 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)
Cookie A makes more cookies than Cookie B from one cup of sugar Cookie A makes 40 cookies, and Cookie B makes 30 cookies from one cup of sugar
Cookie B makes more cookies than Cookie A Cookie B makes 40 cookies, and Cookie A makes 30 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
Cooke A makes more cookies than Cookie B from one cup of sugar. Cookie A makos 80 cookies, and Cookie B makes 36 cookies from one cup of sugar
Answers
GPT-4o mini
To determine which cookie yields the most cookies from one cup of sugar for both Cookie A and Cookie B, let's examine the information provided.
### Cookie A:
- Based on the table for Cookie A:
- For 2 cups of sugar: 80 cookies → \( \frac{80 \text{ cookies}}{2 \text{ cups}} = 40 \text{ cookies per cup} \)
- For 3 cups of sugar: 120 cookies → \( \frac{120 \text{ cookies}}{3 \text{ cups}} = 40 \text{ cookies per cup} \)
- For 4 cups of sugar: 160 cookies → \( \frac{160 \text{ cookies}}{4 \text{ cups}} = 40 \text{ cookies per cup} \)
Thus, Cookie A yields **40 cookies per cup of sugar**.
### Cookie B:
- Now looking at the provided information for Cookie B:
- For 1 cup of sugar: 36 cookies (as inferred from the original table for Cookie B)
- For 2 cups of sugar: 72 cookies → \( \frac{72 \text{ cookies}}{2 \text{ cups}} = 36 \text{ cookies per cup} \)
- For 3 cups of sugar: 180 cookies → \( \frac{180 \text{ cookies}}{3 \text{ cups}} = 60 \text{ cookies per cup} \)
In reviewing the values given above for Cookie B, we can see that it yields:
- 72 cookies for 2 cups = 36 cookies per cup
- 180 cookies for 3 cups = 60 cookies per cup
### Conclusion:
From this, we find that:
- **Cookie A makes 40 cookies per cup of sugar.**
- **Cookie B makes 60 cookies per cup of sugar.**
Comparing the yields:
- Cookie B (60 cookies per cup) yields more than Cookie A (40 cookies per cup).
So, the correct choice among the provided options will be:
**Cookie B makes more cookies than Cookie A. Cookie B makes 60 cookies, and Cookie A makes 40 cookies from one cup of sugar.** However, this exact statement is not present in your options.
If we have to select the closest match from your provided options, the answer relating the ratios would look like:
- **"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."** (Although this does not exactly represent their highest value.)
**Final note: Please double-check the original data points for any discrepancies.**
### Cookie A:
- Based on the table for Cookie A:
- For 2 cups of sugar: 80 cookies → \( \frac{80 \text{ cookies}}{2 \text{ cups}} = 40 \text{ cookies per cup} \)
- For 3 cups of sugar: 120 cookies → \( \frac{120 \text{ cookies}}{3 \text{ cups}} = 40 \text{ cookies per cup} \)
- For 4 cups of sugar: 160 cookies → \( \frac{160 \text{ cookies}}{4 \text{ cups}} = 40 \text{ cookies per cup} \)
Thus, Cookie A yields **40 cookies per cup of sugar**.
### Cookie B:
- Now looking at the provided information for Cookie B:
- For 1 cup of sugar: 36 cookies (as inferred from the original table for Cookie B)
- For 2 cups of sugar: 72 cookies → \( \frac{72 \text{ cookies}}{2 \text{ cups}} = 36 \text{ cookies per cup} \)
- For 3 cups of sugar: 180 cookies → \( \frac{180 \text{ cookies}}{3 \text{ cups}} = 60 \text{ cookies per cup} \)
In reviewing the values given above for Cookie B, we can see that it yields:
- 72 cookies for 2 cups = 36 cookies per cup
- 180 cookies for 3 cups = 60 cookies per cup
### Conclusion:
From this, we find that:
- **Cookie A makes 40 cookies per cup of sugar.**
- **Cookie B makes 60 cookies per cup of sugar.**
Comparing the yields:
- Cookie B (60 cookies per cup) yields more than Cookie A (40 cookies per cup).
So, the correct choice among the provided options will be:
**Cookie B makes more cookies than Cookie A. Cookie B makes 60 cookies, and Cookie A makes 40 cookies from one cup of sugar.** However, this exact statement is not present in your options.
If we have to select the closest match from your provided options, the answer relating the ratios would look like:
- **"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."** (Although this does not exactly represent their highest value.)
**Final note: Please double-check the original data points for any discrepancies.**