Use the table to answer the question.

Cups of Flour Loaves of Bread
1 12
1
2
2 1
3 112
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 specifies that it takes 2 cups of flour to make 1 loaf of bread.

From the table provided, we can identify the ratio where this constant appears.

We can calculate:

  1. For 1 loaf of bread, the cups of flour needed should be \( 2 \) cups (noting the observed values before).
  2. For 2 loaves, according to the ratio defined by the cup of flour per loaf of bread, the cups of flour needed should be \( 2 \times 2 = 4 \) cups.

Thus from the data table:

  • For the pair \( (2, 1) \), it is incorrect (4 cups of flour, could be inferred as lacking).
  • The pair \( (4, 2) \) corresponds to the needed condition, as 4 cups of flour would yield 2 loaves.

So the ordered pair where the constant of proportionality appears, given the relationship of 2 cups of flour per loaf, is:

(4, 2)