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)
(2,4)
To identify the constant of proportionality in the data table, we need to look for a consistent ratio between the number of loaves and the amount of flour needed. Let's examine the data table:
Number of Loaves | Flour Needed (cups)
--------------------------------------
1 | 2
2 | 4
3 | 6
4 | 8
To find the constant of proportionality, we need to find the ratio of flour needed to the number of loaves for each data point. Let's calculate those ratios:
For the first data point (1 loaf, 2 cups of flour):
Ratio = 2 cups of flour / 1 loaf = 2 cups/loaf
For the second data point (2 loaves, 4 cups of flour):
Ratio = 4 cups of flour / 2 loaves = 2 cups/loaf
For the third data point (3 loaves, 6 cups of flour):
Ratio = 6 cups of flour / 3 loaves = 2 cups/loaf
For the fourth data point (4 loaves, 8 cups of flour):
Ratio = 8 cups of flour / 4 loaves = 2 cups/loaf
We can see that the ratio of flour needed to the number of loaves is always 2 cups/loaf. Therefore, the constant of proportionality in the data table is (2, 2), where the first number represents the number of loaves and the second number represents the amount of flour needed.
To determine the constant of proportionality, we need to find a ratio in the data table that remains constant. Let's examine the data table:
Number of Loaves | Amount of Flour (cups)
---------------------------------------
1 2
2 4
3 6
4 8
From the table, we can see that as the number of loaves increases, the amount of flour needed also increases. However, the ratio of the number of loaves to the amount of flour remains constant.
The constant of proportionality is found by comparing the number of loaves with the amount of flour needed. In this case, the constant ratio is 2:1. For every 2 loaves, the bakery needs 1 cup of flour.
Therefore, the constant of proportionality appears as the ratio (2, 1).
wrong
Apologies for the confusion. Let's try again.
To identify the constant of proportionality in the data table, we need to look for a consistent ratio between the number of loaves and the amount of flour needed.
Let's examine the data table:
Number of Loaves | Flour Needed (cups)
--------------------------------------
1 | 2
2 | 4
3 | 6
4 | 8
To find the constant of proportionality, we need to find the ratio of flour needed to the number of loaves for each data point.
For the first data point (1 loaf, 2 cups of flour):
Ratio = 2 cups of flour / 1 loaf = 2 cups/loaf
For the second data point (2 loaves, 4 cups of flour):
Ratio = 4 cups of flour / 2 loaves = 2 cups/loaf
For the third data point (3 loaves, 6 cups of flour):
Ratio = 6 cups of flour / 3 loaves = 2 cups/loaf
For the fourth data point (4 loaves, 8 cups of flour):
Ratio = 8 cups of flour / 4 loaves = 2 cups/loaf
We can see that the ratio of flour needed to the number of loaves is always 2 cups/loaf. Therefore, the constant of proportionality in the data table is (2, 2), where the first number represents the number of loaves and the second number represents the amount of flour needed.
WRONG
Apologies for the incorrect response. Let's reevaluate the data table:
Number of Loaves | Flour Needed (cups)
--------------------------------------
1 | 2
2 | 4
3 | 6
4 | 8
To find the constant of proportionality, we need to find the ratio of flour needed to the number of loaves for each data point.
For the first data point (1 loaf, 2 cups of flour):
Ratio = 2 cups of flour / 1 loaf = 2 cups/loaf
For the second data point (2 loaves, 4 cups of flour):
Ratio = 4 cups of flour / 2 loaves = 2 cups/loaf
For the third data point (3 loaves, 6 cups of flour):
Ratio = 6 cups of flour / 3 loaves = 2 cups/loaf
For the fourth data point (4 loaves, 8 cups of flour):
Ratio = 8 cups of flour / 4 loaves = 2 cups/loaf
We can see that the ratio of flour needed to the number of loaves is always 2 cups/loaf. Therefore, the constant of proportionality in the data table is (2, 2), where the first number represents the number of loaves and the second number represents the amount of flour needed.
Apologies for the confusion earlier, and thank you for pointing out the error.