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.
The constant of proportionality appears at the ratio (1 1/2, 3) in the data table.
To find the ratio in the data table that represents the constant of proportionality, we need to look for a consistent ratio between the number of loaves of bread and the amount of flour needed.
In the given data table, we can see that as the number of loaves of bread doubles, the amount of flour needed also doubles. This means that the ratio between the number of loaves and the amount of flour remains constant.
Looking at the table:
(2, 1 1/2) (1, 3) (1 1/2, 4) (2, 2)
The ratio (2, 1 1/2) represents the constant of proportionality because it maintains the same ratio of 2:1.5 or simplifying, 4:3.
Therefore, the answer is (2, 1 1/2).
To determine at which ratio in the data table the constant of proportionality appears, we need to find the ratio of the number of loaves of bread to the cups of flour. The constant of proportionality represents the fixed amount of cups of flour needed per loaf of bread.
Looking at the table, we can see that when the number of loaves doubles, the amount of flour also doubles. This means that the ratio of the number of loaves to the cups of flour remains constant at 1:2.
Therefore, the constant of proportionality appears at the ratio (1, 2).