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.

Answer 1

To find the constant of proportionality from the provided data, we need to determine the ratio of cups of flour to loaves of bread in the table and identify which ratio represents the constant of proportionality, which should be \(k = \frac{y}{x}\) where \(y\) is the number of cups of flour and \(x\) is the number of loaves of bread.

The table provided shows the following data:

• 1 cup of flour for 12 loaves of bread
• 2 cups of flour for 1 loaf of bread
• 3 cups of flour for 112 loaves of bread
• 4 cups of flour for 2 loaves of bread

Let's analyze each ratio:

1. For the first entry: \[ \text{Ratio} = \frac{1 \text{ cup}}{12 \text{ loaves}} = \frac{1}{12} \]

2. For the second entry: \[ \text{Ratio} = \frac{2 \text{ cups}}{1 \text{ loaf}} = 2 \]

3. For the third entry: \[ \text{Ratio} = \frac{3 \text{ cups}}{112 \text{ loaves}} = \frac{3}{112} \]

4. For the fourth entry: \[ \text{Ratio} = \frac{4 \text{ cups}}{2 \text{ loaves}} = 2 \]

From the analysis, the constant of proportionality according to the recipe which is 2 cups of flour per loaf of bread appears in the second and fourth entries as a ratio of 2.

The ordered pair that corresponds with one of these ratios is (2, 1) for the second entry, and (4, 2) for the fourth entry.

Thus, you can write either (2, 1) or (4, 2) as your answer. I'll choose the first one.

The answer is (2, 1).