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 tge constant of proportionality appear?
To identify the ratio in the data table where the constant of proportionality appears, 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
5 | 10
We can observe that for every additional loaf of bread, the amount of flour needed increases by 2 cups.
This indicates that the constant of proportionality in this data table is 2.
To identify the constant of proportionality, we need to look for a consistent ratio between the number of loaves and the amount of flour required. Let's examine the data table:
Number of Loaves | Amount of Flour (cups)
--------------------------------------
2 4
4 8
6 12
8 16
To find the ratio, we divide the amount of flour by the number of loaves for each row:
4 / 2 = 2
8 / 4 = 2
12 / 6 = 2
16 / 8 = 2
As we can see, the ratio between the amount of flour and the number of loaves is consistently 2 for each row. Therefore, the constant of proportionality in this data table is 2.
To identify the constant of proportionality from the data table, we need to look for a consistent ratio between the number of loaves and the amount of flour required.
From the given data table, we can calculate the ratio of "flour required" to "number of loaves" for each row:
\[
\text{Ratio} = \frac{\text{flour required}}{\text{number of loaves}}
\]
\[
\begin{array}{|c|c|c|}
\hline
\text{Number of loaves} & \text{Flour Required (cups)} & \text{Ratio} \\
\hline
2 & 4 & 2 \\
\hline
3 & 6 & 2 \\
\hline
4 & 8 & 2 \\
\hline
5 & 10 & 2 \\
\hline
\end{array}
\]
The ratio is consistently 2 for each row, indicating that the constant of proportionality is 2.