Use the table to answer the question.

Question

Cups of Flour Loaves of Bread
1 1/2
2 1
3 1 1/2
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, we need to look at the ratio of cups of flour to loaves of bread from the table.

The recipe specifies that 2 cups of flour are needed for 1 loaf of bread, which means the ratio of cups of flour (x) to loaves of bread (y) would be \( \frac{x}{y} = 2 \).

Now we can check each row in the table to find the equivalent ratio that matches this constant of proportionality:

• For 1 cup of flour, the number of loaves is \( \frac{1}{2} \). Thus, the ratio is \( \frac{1}{\frac{1}{2}} = 2 \).
• For 2 cups of flour, the number of loaves is 1. Thus, the ratio is \( \frac{2}{1} = 2 \).
• For 3 cups of flour, the number of loaves is \( \frac{3}{2} \). Thus, the ratio is \( \frac{3}{\frac{3}{2}} = 2 \).
• For 4 cups of flour, the number of loaves is 2. Thus, the ratio is \( \frac{4}{2} = 2 \).

Since all ratios equal 2, any row in the table equals the constant of proportionality, but it’s clear that the simplest ratio is the second row:

The ordered pair that represents this ratio is (2, 1).

So the answer is: (2, 1).

Answer 2

Wrong

Answer 3

Let’s carefully analyze the data provided in the table to determine the constant of proportionality.

The table is:

| Cups of Flour | Loaves of Bread | |---------------|------------------| | 1 | 1/2 | | 2 | 1 | | 3 | 1 1/2 | | 4 | 2 |

Recall that the constant of proportionality refers to the ratio of cups of flour to loaves of bread.

To find the constant of proportionality, we can express the ratio of cups of flour to loaves of bread as follows:

1. For 1 cup of flour to \( \frac{1}{2} \) loaves of bread: \[ \frac{1 \text{ cup}}{\frac{1}{2} \text{ loaf}} = 2 \]

2. For 2 cups of flour to 1 loaf of bread: \[ \frac{2 \text{ cups}}{1 \text{ loaf}} = 2 \]

3. For 3 cups of flour to \( 1 \frac{1}{2} \) loaves of bread: \[ \frac{3 \text{ cups}}{\frac{3}{2} \text{ loaves}} = 2 \]

4. For 4 cups of flour to 2 loaves of bread: \[ \frac{4 \text{ cups}}{2 \text{ loaves}} = 2 \]

In each case, the ratio is \( 2 \), which represents the constant of proportionality.

However, since you are looking for the specific ordered pair from the table where this constant can be observed, the second row (2 cups of flour to 1 loaf of bread) provides a clear and direct depiction of the ratio of \( \frac{2}{1} \).

The ordered pair from the data table that specifically illustrates the constant of proportionality is (2, 1).

If that answer was marked incorrect, please clarify what the specific requirement was or if there was any additional context needed!