A bakery is making loafs 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 answer as an ordered pair inside the parentheses Cups of flour 1 loves of bread 1/2 2cups flour 1 loaf of bread 3 cups of flour 1 1/2 loves of bread 4 cups flour 2 loafs of bread

Question

A bakery is making loafs 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 answer as an ordered pair inside the parentheses Cups of flour 1 loves of bread 1/2 2cups flour 1 loaf of bread 3 cups of flour 1 1/2 loves of bread 4 cups flour 2 loafs of bread

Answer 1

The constant of proportionality can be found by looking at the ratio of the number of loaves of bread to the amount of flour required.

For example, for 1 loaf of bread, the recipe calls for 2 cups of flour. So, the ratio for 1 loaf of bread is (1, 2).

Similarly, for 1.5 loaves of bread, the recipe calls for 4 cups of flour. So, the ratio for 1.5 loaves of bread is (1.5, 4).

Thus, the constant of proportionality appears in the ratio (1.5, 4).

Answer 2

To find the constant of proportionality in the given data table, we need to identify a ratio where the cups of flour per loaf of bread remains constant.

Let's examine the ratios between the number of loaves of bread and the cups of flour:

Ratio 1: 1 loaf of bread - 1/2 cup of flour
Ratio 2: 1 loaf of bread - 3 cups of flour
Ratio 3: 1 1/2 loaves of bread - 4 cups of flour
Ratio 4: 2 loaves of bread - 5 cups of flour

We can see that the ratio of 1 loaf of bread to 2 cups of flour remains constant throughout the data table. This ratio has a constant proportionality.

So the ordered pair representing the constant of proportionality is (1 loaf of bread, 2 cups of flour).

Answer 3

To determine the constant of proportionality in this case, we can look for a pattern in the data table.

The ratio between the number of loaves of bread and the amount of flour needed is as follows:

(1 loaf of bread, 1/2 cup of flour)
(1 loaf of bread, 2 cups of flour)
(1 1/2 loaves of bread, 3 cups of flour)
(2 loaves of bread, 4 cups of flour)

From the 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 of loaves of bread to flour remains constant.

The proportionality ratio is (1 loaf of bread: 2 cups of flour). So the constant of proportionality appears as the ordered pair inside the parenthesis: (1, 2).