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 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 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 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.

1 answer

To find out how many cookies Cookie A and Cookie B make from one cup of sugar, we need to evaluate the information provided.

From the table for Cookie A:

  • At 2 cups of sugar, Cookie A produces 80 cookies.
  • At 3 cups of sugar, Cookie A produces 120 cookies.
  • At 4 cups of sugar, Cookie A produces 160 cookies.

To find out how many cookies Cookie A makes from one cup of sugar, we see that with 2 cups, there are 80 cookies, so:

  • For 1 cup of sugar: \( \frac{80 \text{ cookies}}{2 \text{ cups}} = 40 \text{ cookies per cup} \).

According to the graph mentioned in your description:

  • The point (1, 36) represents Cookie B, which indicates it produces 36 cookies for 1 cup of sugar.

Now let's compare the two:

  • Cookie A makes 40 cookies per cup of sugar.
  • Cookie B makes 36 cookies per cup of sugar.

So, Cookie A makes more cookies than Cookie B from one cup of sugar.

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.