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Part 1
A baker likes to make cookies. The graph shows a proportional relationship between cups of flour used and number of cookies made. What does the point​ (0,0) represent? What does the point ​(1​,15​) ​represent?
Flour Used to Bake Cookies
0
2
4
6
8
0
50
100
150
Cups of Flour, x
Number of Cookies, y

x y graph
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Part 1
What does the point​ (0,0) represent? Select all that apply.
A.
The unit rate is 0 cups of flour per cookie.
B.
The baker makes 0 cookies with 0 cups of flour.
C.
The baker needs 0 cups of flour to make 0 cookies.
D.
The unit rate is 0 cookies per cup of flour.

1 answer

In the context of a proportional relationship between cups of flour and the number of cookies made, let's analyze the points given:

  1. Point (0,0):
    • This point indicates that when there are 0 cups of flour used, the number of cookies made is also 0. Therefore, it represents the scenario where no ingredients are used, and thus no output (cookies) is produced.

So, the correct interpretations for the point (0,0) are:

  • B. The baker makes 0 cookies with 0 cups of flour.
  • C. The baker needs 0 cups of flour to make 0 cookies.

A. The unit rate is 0 cups of flour per cookie. and D. The unit rate is 0 cookies per cup of flour. are not applicable as they imply a ratio which doesn’t exist when both quantities are zero.

  1. Point (1,15):
    • This point indicates that when 1 cup of flour is used, the baker can make 15 cookies. This shows a specific case of the proportional relationship.

In summary, for (0,0), the correct answers are B and C.