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 answer

To find the constant of proportionality based on the recipe of 2 cups of flour per loaf of bread, we can examine the data given in the table.

The ratio of cups of flour to loaves of bread is constant for every valid entry where a whole number of loaves can be made from an appropriate amount of flour.

We first identify the correct ratio from the data that matches the 2 cups of flour per loaf of bread.

  • For 1 loaf: 2 cups of flour → Not in the table.
  • For 2 loaves: 4 cups of flour → Appears in the table (4, 2).
  • For 3 loaves: 6 cups of flour → Not in the table.
  • For 4 loaves: 8 cups of flour → Not in the table.

The only ratio in the data table that reflects the constant of proportionality (2 cups of flour per loaf of bread) is (4, 2), which shows 4 cups of flour for 2 loaves of bread.

So, the answer is the ordered pair (4, 2).

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