To determine the constant of proportionality for the relationship between cups of flour and loaves of bread, we need to find a ratio where the number of cups of flour is proportional to the number of loaves of bread.
From the data table:
- For 1/2 loaf, 1 cup of flour is needed.
- For 1 loaf, 2 cups of flour are needed.
- For 1 1/2 loaves, 3 cups of flour are needed.
- For 2 loaves, 4 cups of flour are needed.
The recipe indicates that it takes 2 cups of flour to make 1 loaf of bread. Thus, the constant of proportionality \(k\) can be represented as:
\[ k = \frac{\text{cups of flour}}{\text{loaves of bread}} \]
Using the value where 1 loaf requires 2 cups of flour:
\[ k = \frac{2 \text{ cups}}{1 \text{ loaf}} = 2 \]
This constant can also be checked for the other pairs in the table to confirm proportionality:
- For 2 cups of flour, you have 1 loaf: \( \frac{2}{1} = 2 \)
- For 3 cups of flour, you have 1 1/2 loaves: \( \frac{3}{1.5} = 2 \)
- For 4 cups of flour, you have 2 loaves: \( \frac{4}{2} = 2 \)
Thus, the constant of proportionality of 2 appears in all pairs. However, for the specific question regarding the ratio in the data table, we can represent it as the values for 2 cups of flour and 1 loaf of bread.
So, the ordered pair that reflects the constant of proportionality is (2, 1).
Therefore, the answer is:
(2, 1)
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