To find the price per fluid ounce of the apple juice, we first need to convert the quantity from quarts to fluid ounces.
1 quart is equal to 32 fluid ounces. Therefore, a 2-quart carton contains:
\[ 2 \text{ quarts} \times 32 \text{ fluid ounces/quart} = 64 \text{ fluid ounces} \]
Next, we divide the total cost of the carton by the total fluid ounces to find the price per fluid ounce:
\[ \text{Price per fluid ounce} = \frac{\text{Total Cost}}{\text{Total Fluid Ounces}} = \frac{5.12}{64} \]
Calculating this gives:
\[ \frac{5.12}{64} = 0.08 \]
Thus, the price per fluid ounce is $0.08.