Use the table to answer the question.

Cups of Flour Loaves of Bread
1 12

2 1
3 112

4 2
A bakery is making loaves of French bread. The recipe calls for 2 cups of flour per loaf of bread. The data table shows how much flour the bakery needs depending on the number of loaves it intends to make. At which ratio in the data table does the constant of proportionality appear? Write your answer as an ordered pair inside the parentheses provided.

(1 point)

1 answer

To find the constant of proportionality, we need to determine the ratio of cups of flour to loaves of bread. Since the recipe calls for 2 cups of flour per loaf, we can check the values in the table:

  1. For 1 cup of flour: 12 loaves of bread → Ratio = \( \frac{1}{12} \)
  2. For 2 cups of flour: 1 loaf of bread → Ratio = \( \frac{2}{1} \)
  3. For 3 cups of flour: 112 loaves of bread → Ratio = \( \frac{3}{112} \)
  4. For 4 cups of flour: 2 loaves of bread → Ratio = \( \frac{4}{2} \)

The ratio of cups of flour to loaves of bread should equal the constant of proportionality, which is \( \frac{2}{1} \).

Thus, the ratio that matches this constant of proportionality is (2, 1).

So, the ordered pair is (2, 1).

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