To determine how much flour is in one batch of cookies, you would divide the total amount of flour used by the number of batches.
Let's assume Luanne used \( F \) cups of flour to make \( B \) batches of cookies (use the values mentioned in the options). The formula to find the amount of flour per batch is:
\[ \text{Flour per batch} = \frac{F}{B} \]
Let's evaluate each of the provided options assuming that \( F \) (cups of flour) and \( B \) (batches) are provided in the responses:
A: If she used \( 2 \frac{1}{4} \) cups for \( 4 \) batches: \[ \text{Flour per batch} = \frac{2 \frac{1}{4}}{4} = \frac{2.25}{4} = 0.5625 \text{ cups} \]
B: If she used \( 2 \frac{1}{2} \) cups for \( 2 \) batches: \[ \text{Flour per batch} = \frac{2 \frac{1}{2}}{2} = \frac{2.5}{2} = 1.25 \text{ cups} \]
C: If she used \( 12 \frac{1}{4} \) cups for \( 4 \) batches: \[ \text{Flour per batch} = \frac{12 \frac{1}{4}}{4} = \frac{12.25}{4} = 3.0625 \text{ cups} \]
D: If she used \( 5 \frac{1}{4} \) cups for \( 4 \) batches: \[ \text{Flour per batch} = \frac{5 \frac{1}{4}}{4} = \frac{5.25}{4} = 1.3125 \text{ cups} \]
If we assume an correct interpretation of Luanne's data aligns with one specific answer or correct fractions make sense, none of the options directly seems to apply to commonly stated cookie recipes as they are.
If you could provide the actual numerical values originally noted beside the statement or the specific numbers of batches or flour, I could cross-verify the computation/reasoning given here.