...
Use the table to answer the question.
Cups of Flour Loaves of Bread
1 12
2 1
3 112
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).
ITS NOT 2, 1 FIX IT
Apologies for the error. The constant of proportionality appears in the ratio (1, 12).
wrong
Apologies for the confusion. The constant of proportionality appears in the ratio (4, 2).
To find the ratio where the constant of proportionality appears in the data table, we need to compare the number of cups of flour with the number of loaves of bread.
First, let's calculate the ratios for each set of data points:
For the first data point (1 cup of flour, 12 loaves of bread), the ratio is (1, 12) since there is 1 cup of flour for 12 loaves of bread.
For the second data point (2 cups of flour, 1 loaf of bread), the ratio is (2, 1) since there are 2 cups of flour for 1 loaf of bread.
For the third data point (3 cups of flour, 112 loaves of bread), the ratio is (3, 112) since there are 3 cups of flour for 112 loaves of bread.
For the fourth data point (4 cups of flour, 2 loaves of bread), the ratio is (4, 2) since there are 4 cups of flour for 2 loaves of bread.
Now, let's analyze the ratios and identify when the constant of proportionality appears. The constant of proportionality is the same for all ratios and represents the relationship between the number of cups of flour and the number of loaves of bread.
Looking at the ratios, we can see that the only pair with a constant ratio is (2, 1) since 2 cups of flour always correspond to 1 loaf of bread. Therefore, the ordered pair that represents the constant of proportionality in the data table is (2, 1).
In conclusion, the constant of proportionality appears at the ratio (2, 1).