Use the table to answer the 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.

(1 point)

1 answer

To determine the constant of proportionality, we need to find the ratio of cups of flour to loaves of bread. The recipe states that it takes 2 cups of flour to make 1 loaf of bread.

To identify the constant of proportionality from the table, we can look at the ratios given:

  • For 1/2 loaf of bread, it takes 1 cup of flour: \( \frac{1}{0.5} = 2 \).
  • For 1 loaf of bread, it takes 2 cups of flour: \( \frac{2}{1} = 2 \).
  • For 1 1/2 loaves of bread, it takes 3 cups of flour: \( \frac{3}{1.5} = 2 \).
  • For 2 loaves of bread, it takes 4 cups of flour: \( \frac{4}{2} = 2 \).

The constant ratio of cups of flour to loaves of bread is consistently \( 2 \).

In the data table, the point (2, 1) represents 2 cups of flour for 1 loaf of bread, which shows the constant of proportionality.

Thus, the ordered pair indicating where the constant of proportionality appears is:

(2, 1)