Use the table and image to answer the question.

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 answer

To determine which cookie yields more cookies from one cup of sugar, we will consider both Cookie A and Cookie B based on the given information.

For Cookie A, the yields are as follows:

  • 2 cups yield 80 cookies: \( \frac{80 \text{ cookies}}{2 \text{ cups}} = 40 \text{ cookies per cup} \)
  • 3 cups yield 120 cookies: \( \frac{120 \text{ cookies}}{3 \text{ cups}} = 40 \text{ cookies per cup} \)
  • 4 cups yield 160 cookies: \( \frac{160 \text{ cookies}}{4 \text{ cups}} = 40 \text{ cookies per cup} \)

From this data, we can see that Cookie A consistently yields 40 cookies per cup of sugar.

For Cookie B, we have a graph that provides the number of cookies based on cups of sugar:

  • From the graph, the point corresponding to 1 cup of sugar is at the coordinate (1, 36), which indicates that Cookie B yields 36 cookies from one cup of sugar.

Now we compare the yields:

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

Conclusion: Cookie A yields the most cookies from one cup of sugar, producing 40 cookies compared to Cookie B's 36 cookies.