Sure, I can guide you through this step by step.
1. Determine the food percentage for each flock:
- The total number of pieces of food is 300.
For Flock X:
- Total pieces of food eaten by Flock X = 147.
- Food percentage for Flock X = [tex]\( \frac{147}{300} \times 100 \% = 49\% \)[/tex].
For Flock Y:
- Total pieces of food eaten by Flock Y = 93.
- Food percentage for Flock Y = [tex]\( \frac{93}{300} \times 100 \% = 31\% \)[/tex].
For Flock Z:
- Total pieces of food eaten by Flock Z = 60.
- Food percentage for Flock Z = [tex]\( \frac{60}{300} \times 100 \% = 20\% \)[/tex].
2. Calculate the simulated number of birds in the flock for the 3rd generation:
- The total number of birds is 30.
For Flock X:
- Food percentage for Flock X = 49%.
- Simulated number of birds in Flock X = [tex]\( 49\% \times 30 = 0.49 \times 30 = 14.7 \)[/tex] birds.
For Flock Y:
- Food percentage for Flock Y = 31%.
- Simulated number of birds in Flock Y = [tex]\( 31\% \times 30 = 0.31 \times 30 = 9.3 \)[/tex] birds.
For Flock Z:
- Food percentage for Flock Z = 20%.
- Simulated number of birds in Flock Z = [tex]\( 20\% \times 30 = 0.20 \times 30 = 6.0 \)[/tex] birds.
So the final table should be filled in as follows:
[tex]\[
\begin{tabular}{|c|c|c|c|}
\hline & Flock X & Flock Y & Flock Z \\
\hline \begin{tabular}{l}
Total Pieces of Food Eaten \\
(from previous page)
\end{tabular} & 147 & 93 & 60 \\
\hline Food Percentage & 49\% & 31\% & 20\% \\
\hline Simulated Number of Birds in Flock for 3rd Generation & 14.7 & 9.3 & 6.0 \\
\hline
\end{tabular}
\][/tex]
This is a detailed breakdown of how each value is determined and filled in the table.
