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.
(1 point)
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The constant of proportionality represents the ratio between the number of cups of flour and the number of loaves of bread. Looking at the data table, we can see that for every 1 cup of flour, there are 12 loaves of bread. Therefore, the constant of proportionality is (1, 12).
To find the constant of proportionality in the data table, we need to identify the ratio that remains constant throughout the table. The ratio is determined by dividing the number of cups of flour by the number of loaves of bread produced.
Looking at the data, we can calculate the ratios for each row:
For the first row, the ratio is 1 cup of flour per 12 loaves of bread: 1/12.
For the second row, the ratio is 2 cups of flour per 1 loaf of bread: 2/1.
For the third row, the ratio is 3 cups of flour per 112 loaves of bread: 3/112.
For the fourth row, the ratio is 4 cups of flour per 2 loaves of bread: 4/2.
Out of these ratios, we can see that the ratio that remains constant is 2 cups of flour per 1 loaf of bread (2/1). Therefore, the constant of proportionality appears at the ratio (2, 1).
So, the answer is (2, 1).
To find the ratio in the data table where the constant of proportionality appears, we need to look for a constant ratio between the number of cups of flour and the number of loaves of bread.
Let's calculate the ratios for each set of data:
For the first set of data at (1, 12), the ratio is 12 cups of flour per 1 loaf of bread.
For the second set of data at (2, 1), the ratio is 1 cup of flour per 1 loaf of bread.
For the third set of data at (3, 112), the ratio is (1/2) cup of flour per 1 loaf of bread.
For the fourth set of data at (4, 2), the ratio is 1/2 cup of flour per 1 loaf of bread.
From the above calculations, we can see that the ratio of 1 cup of flour per 1 loaf of bread appears twice: at (2, 1) and (4, 2).
Therefore, the constant of proportionality appears at the ratio (2, 1).