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 ration in the data table does the constant of proportionality appear? write your answer as an ordered pair inside the parentheses provided. 1 1/2

Question

2. 1
3. 1 1/2
4. 2

Answer 1

To determine the constant of proportionality in this context, we start by noting that the recipe requires 2 cups of flour for each loaf of bread. The constant of proportionality can be determined as the ratio of the amount of flour (in cups) to the number of loaves of bread.

Given that the recipe calls for 2 cups of flour per loaf, the constant of proportionality \( k \) is:

\[ k = \frac{\text{cups of flour}}{\text{number of loaves}} = \frac{2 \text{ cups}}{1 \text{ loaf}} = 2 \]

Thus, the constant of proportionality appears as the ratio of flour to loaves, which can be expressed as \( (2, 1) \) because for every 2 cups of flour (the y-coordinate), there is 1 loaf of bread (the x-coordinate).

Therefore, the ordered pair that represents the constant of proportionality is:

\[ (2, 1) \]