Use the table to answer the question.

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.

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Answer 1

To determine at which ratio the constant of proportionality appears, we first need to find the constant of proportionality based on the recipe. The recipe states that it takes 2 cups of flour to make 1 loaf of bread. Thus, the constant of proportionality, k, is:

\[ k = \frac{\text{Cups of Flour}}{\text{Loaves of Bread}} = \frac{2 \text{ cups}}{1 \text{ loaf}} = 2 \]

Next, we need to check the ratios in the table provided:

• For \(1\) cup of flour: \(\frac{1}{12}\) (not equal to 2)
• For \(2\) cups of flour: \(\frac{2}{1} = 2\) (constant of proportionality is found here)
• For \(3\) cups of flour: \(\frac{3}{112}\) (not equal to 2)
• For \(4\) cups of flour: \(\frac{4}{2} = 2\) (constant of proportionality is also found here)

The constant of proportionality appears for both \(2\) cups of flour with \(1\) loaf of bread and \(4\) cups of flour with \(2\) loaves of bread.

However, we take one ordered pair:

• From \(2\) cups of flour leading to \(1\) loaf: the ratio is (2, 1).

Thus, the answer to your question is:

(2, 1)