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.
(1 point)
The constant of proportionality appears at the ratio (2, 1).
The constant of proportionality appears when the ratio of cups of flour to loaves of bread is consistent. Looking at the table, we can see that for every 2 cups of flour, the bakery makes one loaf of bread. Therefore, the ratio of cups of flour to loaves of bread is 2:1. So, the constant of proportionality is (2,1).
To identify the constant of proportionality in the given data table, we need to look for a consistent ratio between the number of cups of flour and the number of loaves of bread.
Let's calculate the ratios for each pair of values:
For the first pair (1 cup of flour, 1/2 loaf of bread):
Ratio = 1 cup of flour / 1/2 loaf of bread = 2 cups of flour per loaf of bread.
For the second pair (2 cups of flour, 1 loaf of bread):
Ratio = 2 cups of flour / 1 loaf of bread = 2 cups of flour per loaf of bread.
For the third pair (3 cups of flour, 1.5 loaves of bread):
Ratio = 3 cups of flour / 1.5 loaves of bread = 2 cups of flour per loaf of bread.
For the fourth pair (4 cups of flour, 2 loaves of bread):
Ratio = 4 cups of flour / 2 loaves of bread = 2 cups of flour per loaf of bread.
As we can see, the ratio of cups of flour to loaves of bread is consistently 2 cups of flour per loaf of bread. Therefore, the constant of proportionality in the data table is (2, 1).