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 ration in the data table does the constant of proportionality appear? write your answer as an ordered pair inside the parentheses provided. 1 0.5 2 1 3 1.5 4 2

1 answer

To find the constant of proportionality in the data table for the bakery's flour usage, we can analyze the relationship between the number of loaves and the amount of flour needed.

Given that the recipe calls for 2 cups of flour per loaf of bread, we can create the following pairs based on the number of loaves:

  • 1 loaf = 2 cups of flour
  • 2 loaves = 4 cups of flour
  • 3 loaves = 6 cups of flour
  • 4 loaves = 8 cups of flour

This means the relationship can be expressed as:

\[ \text{Flour} = 2 \times \text{Loaves} \]

From the data given, the pairs can be summarized as follows:

  • (1, 2)
  • (2, 4)
  • (3, 6)
  • (4, 8)

The constant of proportionality is the coefficient of the number of loaves, which is 2 (i.e., for every loaf, the amount of flour increases by 2 cups).

Therefore, the constant of proportionality ratio appears at the pairs that relate loaves to flour as (1, 2).

Thus, the answer is: \((1, 2)\)