Question

Question
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 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.

Answer 1

To determine which cookie, Cookie A or Cookie B, yields the most cookies from one cup of sugar, we first need to extract the information from the provided table and the graph.

From the table for Cookie A:
- For 2 cups of sugar, Cookie A yields 80 cookies.
- For 3 cups of sugar, it yields 120 cookies.
- For 4 cups of sugar, it yields 160 cookies.

To find out how many cookies Cookie A makes from 1 cup of sugar, we can calculate the yield per cup:
- For 2 cups: \( \frac{80 \text{ cookies}}{2 \text{ cups}} = 40 \text{ cookies per cup} \)
- For 3 cups: \( \frac{120 \text{ cookies}}{3 \text{ cups}} = 40 \text{ cookies per cup} \)
- For 4 cups: \( \frac{160 \text{ cookies}}{4 \text{ cups}} = 40 \text{ cookies per cup} \)

So, Cookie A makes 40 cookies from one cup of sugar.

From the graph for Cookie B:
- Looking at the graph, at 1 cup of sugar (x = 1), the y-coordinate shows 36 cookies for Cookie B.

Now we can summarize:
- Cookie A makes 40 cookies from one cup of sugar.
- Cookie B makes 36 cookies from one cup of sugar.

Comparing the two:
- Cookie A (40 cookies) makes more cookies than Cookie B (36 cookies).

Thus, the correct response would be:
"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."