Compare Proportional Relationships Quick Check

Question

3 of 53 of 5 Items

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 yields more cookies per cup of sugar, we need to extract the values for each cookie from the provided information.

From the table for Cookie A, we see:

• 2 cups of sugar yield 80 cookies, which means:
  • For 1 cup: \( \frac{80 \text{ cookies}}{2 \text{ cups}} = 40 \text{ cookies per cup} \)

From the graph for Cookie B, we check the coordinates. It shows:

• At 2 cups of sugar, Cookie B yields 72 cookies. This corresponds to:
  • For 1 cup: \( \frac{72 \text{ cookies}}{2 \text{ cups}} = 36 \text{ cookies per cup} \)

Now comparing the two:

• Cookie A makes 40 cookies per cup of sugar.
• Cookie B makes 36 cookies per cup of sugar.

Therefore, Cookie A makes more cookies than Cookie B from one cup of sugar.

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.