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

1 answer

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.