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 need to look at the data for Cookie A and Cookie B.

From the table for Cookie A:

  • 1 cup of sugar yields 36 cookies (based on the data point at (1, 36)).

From the graph data for Cookie B, we can compare the data:

  • The closest data points surrounding 1 cup of sugar are:
    • At 0 cups: 0 cookies
    • At 1 cup: 36 cookies
    • At 2 cups: 72 cookies

For Cookie B:

  • Since the graph indicates that for 1 cup of sugar the yield of cookies is also 36 (as the point at (1, 36) is included), it seems Cookie B matches Cookie A at this value.

Thus:

  • Cookie A yields 36 cookies from 1 cup of sugar.
  • Cookie B also yields 36 cookies from 1 cup of sugar.

Since both cookies yield the same amount, neither cookie yields more cookies from one cup of sugar; both yield 36 cookies.