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 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.
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 40 cookies, and Cookie B makes 36 cookies from one cup of sugar.

1 answer

To determine which cookie yields more cookies from one cup of sugar, we need to look at the given data for both Cookie A and Cookie B.

From the table:

  • For Cookie A, we see the production results for 2, 3, and 4 cups of sugar:
    • 2 cups -> 80 cookies
    • 3 cups -> 120 cookies
    • 4 cups -> 160 cookies
  • To find out how many cookies are made with 1 cup of sugar for Cookie A, we can calculate the cookies per cup by taking the values from the table. The first data point we see is actually at 2 cups for 80 cookies. Thus:
    • At 1 cup of sugar (using proportional reasoning), the cookies would be half of 80 (because it is a linear relationship): \[ \text{Cookies for 1 cup of sugar for Cookie A} = \frac{80 \text{ cookies}}{2} = 40 \text{ cookies} \]

From the graph:

  • Cookie B is represented in the graph with a point at (1, 36). Thus, \[ \text{Cookies for 1 cup of sugar for Cookie B} = 36 \text{ cookies} \]

Now, comparing both yields:

  • Cookie A yields 40 cookies with 1 cup of sugar.
  • Cookie B yields 36 cookies with 1 cup of sugar.

Therefore, the results indicate: Cookie A makes more cookies than Cookie B from one cup of sugar. Cookie A makes 40 cookies, and Cookie B makes 36 cookies.

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.