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 determine the ratio of cups of flour to loaves of bread.

From the table, we can identify the following values:

• For 1 cup of flour, the bakery makes 1/2 loaf of bread. The ratio is \( \frac{1 \text{ cup}}{1/2 \text{ loaf}} = \frac{1}{0.5} = 2\).

• For 2 cups of flour, the bakery makes 1 loaf of bread. The ratio is \( \frac{2 \text{ cups}}{1 \text{ loaf}} = 2\).

• For 3 cups of flour, the bakery makes 1 1/2 loaves of bread. The ratio is \( \frac{3 \text{ cups}}{1.5 \text{ loaves}} = \frac{3}{1.5} = 2\).

• For 4 cups of flour, the bakery makes 2 loaves of bread. The ratio is \( \frac{4 \text{ cups}}{2 \text{ loaves}} = 2\).

In each case, the constant of proportionality is 2 cups of flour per loaf of bread.

The ratio at which the constant of proportionality occurs, as indicated by the table, is at the point \( (2, 1) \).

Thus, the answer is:

(2, 1)