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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.

3 answers

To find the constant of proportionality in the situation described, we look for the ratio of cups of flour to loaves of bread.

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

Now to find this in the data table:

  • For 1 loaf of bread, 1 cup of flour is needed. (1, 1/2)
  • For 2 loaves of bread, 2 cups of flour are needed. (2, 1)
  • For 3 loaves of bread, 3 cups of flour are needed. (3, 1 1/2)
  • For 4 loaves of bread, 4 cups of flour are needed. (4, 2)

The point that corresponds to the ratio of 2 cups of flour for 1 loaf of bread is (2, 1).

Thus, the ordered pair representing this ratio is:

(2, 1)

thats wrong, its not 2, 1
what else could it be

I apologize for the misunderstanding. Let's review the table again with the goal of identifying the correct constant of proportionality for 2 cups of flour per loaf of bread.

The original data from the table shows:

  • 1 cup of flour - 1/2 loaf of bread
  • 2 cups of flour - 1 loaf of bread
  • 3 cups of flour - 1 1/2 loaves of bread
  • 4 cups of flour - 2 loaves of bread

Since the recipe calls for 2 cups of flour per loaf, we analyze when this ratio appears in the context of the loaves of bread:

  • If we have 4 cups of flour, it indeed yields 2 loaves of bread.

Thus, the ordered pair that corresponds correctly to the ratio where the constant of proportionality appears (indicating 2 cups of flour results in 1 loaf of bread) is actually:

(4, 2)

Thank you for your patience, and I hope this answers your question correctly!