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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 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 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.
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1 answer

To determine which cookie yields more from one cup of sugar, we first look at the provided information:

  1. For Cookie A, the data shows:

    • When using 2 cups of sugar, 80 cookies are produced.
    • When using 3 cups of sugar, 120 cookies are produced.
    • When using 4 cups of sugar, 160 cookies are produced.

    From this, we can find the number of cookies produced per cup of sugar:

    • For 2 cups: 80 cookies / 2 cups = 40 cookies per cup
    • For 3 cups: 120 cookies / 3 cups = 40 cookies per cup
    • For 4 cups: 160 cookies / 4 cups = 40 cookies per cup

    Thus, Cookie A makes 40 cookies per cup of sugar.

  2. For Cookie B, we look at the graph which shows the following coordinate points:

    • (0, 0)
    • (1, 36)
    • (2, 72)
    • (3, 108)
    • (4, 144)
    • (5, 180)

    From the graph, specifically:

    • For 1 cup of sugar: 36 cookies
    • For 2 cups of sugar: 72 cookies
    • Therefore, when using 1 cup of sugar, Cookie B makes 36 cookies.

Comparing the two:

  • Cookie A: 40 cookies per cup
  • Cookie B: 36 cookies per cup

Conclusion: Cookie A makes more cookies than Cookie B from one cup of sugar.

The appropriate 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."