Let's determine the sizes of the flocks in the third generation with the given data.
### Step-by-Step Solution:
1. Total Pieces of Food Eaten by Each Flock:
- Flock X: 32 pieces
- Flock Y: 180 pieces
- Flock Z: 88 pieces
2. Total Food Available: 300 pieces
3. Total Number of Birds: 30 birds
4. Calculation of Food Percentage for Each Flock:
- Flock X:
- Percentage of food eaten by Flock X [tex]\( = \frac{32}{300} \times 100 \approx 10.67\% \)[/tex]
- Flock Y:
- Percentage of food eaten by Flock Y [tex]\( = \frac{180}{300} \times 100 = 60\% \)[/tex]
- Flock Z:
- Percentage of food eaten by Flock Z [tex]\( = \frac{88}{300} \times 100 \approx 29.33\% \)[/tex]
5. Calculation of the Number of Birds in Each Flock for the 3rd Generation:
- Flock X:
- Number of birds in Flock X [tex]\( = \frac{10.67}{100} \times 30 \approx 3.2 \)[/tex]
- Flock Y:
- Number of birds in Flock Y [tex]\( = 0.60 \times 30 = 18.0 \)[/tex]
- Flock Z:
- Number of birds in Flock Z [tex]\( = \frac{29.33}{100} \times 30 \approx 8.8 \)[/tex]
### Filling the Table:
\begin{tabular}{|c|c|c|c|}
\hline
\multirow{2}{*}{} & \textbf{Flock X} & \textbf{Flock Y} & \textbf{Flock Z} \\
\hline
\textbf{Total Pieces of Food Eaten} & 32 & 180 & 88 \\
\hline
\textbf{Food Percentage} & 10.67\% & 60.0\% & 29.33\% \\
\hline
\textbf{Simulated Number of Birds in Flock for 3rd Generation} & 3.2 & 18.0 & 8.8 \\
\hline
\end{tabular}
This table accurately represents the sizes of the flocks in terms of the number of birds in each flock for the third generation, based on the food consumption data provided.
