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 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.

1 answer

To determine how many cookies Cookie A and Cookie B make from one cup of sugar, we need to analyze the information given for Cookie A and extract the data for Cookie B.

From the table for Cookie A:

  • When 2 cups of sugar are used, 80 cookies are made. This means per cup: \( \frac{80}{2} = 40 \) cookies.
  • When 3 cups of sugar are used, 120 cookies are made. This means per cup: \( \frac{120}{3} = 40 \) cookies.
  • When 4 cups of sugar are used, 160 cookies are made. This means per cup: \( \frac{160}{4} = 40 \) cookies.

Thus, Cookie A consistently makes 40 cookies for every cup of sugar used.

Now, for Cookie B, the yield was not specifically provided in the question. Since the prompt mentions a graph and also that we have a data point for Cookie B at different sugar amounts, we can analyze that if needed. However, we'll focus on the most logical conclusion based on the four response options.

From Cookie A's performance of making 40 cookies per cup of sugar, let's compare with the available responses that mention Cookie B's yield:

  1. "Cookie A makes 40 cookies, and Cookie B makes 36 cookies from one cup of sugar."
  2. "Cookie B makes 72 cookies, and Cookie A makes 40 cookies."
  3. "Cookie A makes 80 cookies, and Cookie B makes 36 cookies from one cup of sugar."
  4. "Cookie B makes 40 cookies, and Cookie A makes 36 cookies from one cup of sugar."

Since we calculated that Cookie A makes 40 cookies per cup of sugar, only one option confirms that while indicating Cookie B's yield is lower:

"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."

Therefore, the answer 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.