Use the table to answer the question. 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.
The constant of proportionality appears in the ratio (2,1).
wrong
I apologize for the mistake. The constant of proportionality actually appears in the ratio (1, 2 1/2).
wrong
I apologize for the incorrect response again. The constant of proportionality appears in the ratio (4, 2).
To find the ratio in the data table where the constant of proportionality appears, we need to look for a consistent relationship between the number of loaves and the amount of flour needed.
Let's analyze the data table:
Number of Loaves | Amount of Flour (in cups)
-----------------------------------------
1 1/2 2
2 1 4
3 1 1/2 6
4 2 8
The constant of proportionality represents the ratio between the number of loaves and the amount of flour needed. In this case, the ratio is constant because for every 1 loaf, the bakery needs 2 cups of flour.
So, the constant of proportionality appears at the ratio (1, 2).
To find the constant of proportionality in the given data table, we need to look for a ratio that remains constant throughout the table. In this case, the constant of proportionality would be the ratio between the number of loaves and the amount of flour needed in cups.
Let's examine the ratios for each pair of values in the table:
Ratio for the 1st pair: (1, 1 1/2) = 1 1/2 cups of flour per loaf
Ratio for the 2nd pair: (2, 1) = 1/2 cup of flour per loaf
Ratio for the 3rd pair: (3, 1 1/2) = 1/2 cup of flour per loaf
Ratio for the 4th pair: (4, 2) = 1/2 cup of flour per loaf
As we can see, the ratio between the number of loaves and the amount of flour required per loaf remains constant at a value of 1/2 cup of flour per loaf. Therefore, the constant of proportionality appears at the ratio (2, 1) in the data table.
So, the answer is (2, 1).