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.

(1 point)
(
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Answer 1

To find the constant of proportionality, we need to find the ratio of cups of flour to loaves of bread for the provided data points. The ratio should remain constant if the relationship is proportional.

The relationship is given by the recipe: 2 cups of flour per loaf.

From the table:

• For 1 cup of flour, they can make 12 loaves. This gives us the ratio \( \frac{1}{12} \).
• For 2 cups of flour, they can make 1 loaf. This gives us the ratio \( \frac{2}{1} \).
• For 3 cups of flour, they can make 112 loaves. This gives us the ratio \( \frac{3}{112} \).
• For 4 cups of flour, they can make 2 loaves. This gives us the ratio \( \frac{4}{2} \) or \( 2 \).

The only ratio that shows a direct relationship to the recipe’s requirement of 2 cups per loaf of bread is \( (4, 2) \).

Thus, the ratio in the data table where the constant of proportionality appears is:

(4, 2)

Answer 2

That is wrong.

Answer 3

I apologize for the confusion. Let's clarify the relationships in the data table.

1. The recipe calls for 2 cups of flour per loaf of bread, meaning the constant of proportionality is 2.

To identify the ratio from your data:

• 1 cup of flour allows for 12 loaves: \( \frac{1}{12} \)
• 2 cups of flour allows for 1 loaf: \( \frac{2}{1} \)
• 3 cups of flour allows for 112 loaves: \( \frac{3}{112} \)
• 4 cups of flour allows for 2 loaves: \( \frac{4}{2} \) or \( 2 \)

In a proportional relationship with the recipe, it should maintain a direct connection where the number of cups of flour is equal to 2 times the amount of loaves.

So, based on the recipe, the correct ordered pair reflecting the correct proportionality is when:

• If you have 2 cups of flour and it lets you make 1 loaf, resulting in the correct proportionality which indeed confirms:
• \(2\) cups of flour per loaf of 1 is \( (2, 1) \).

Thus, the ordered pair reflecting the correct constant of proportionality is:

(2, 1)

Thank you for your patience, and I appreciate the clarification!