Answered

\begin{tabular}{|c|c|c|c|}
\hline
& Flock [tex]$X$[/tex] & Flock [tex]$Y$[/tex] & Flock [tex]$Z$[/tex] \\
\hline
\begin{tabular}{l}
Total Pieces of Food Eaten \\
(from previous page)
\end{tabular} & 147 & 93 & 60 \\
\hline
Food Percentage & [tex]$\square \%$[/tex] & [tex]$\%$[/tex] & [tex]$\%$[/tex] \\
\hline
Simulated Number of Birds in Flock for 3rd Generation & & & \\
\hline
\end{tabular}

 Divide each flock's total pieces of food by 300, the total number of pieces of food eaten.
Multiply the food percentage for each flock by the total number of birds (30).



Answer :

GinnyAnswer
Let's go through this step-by-step:

## Step 1: Calculate the Food Percentage for Each Flock

1. Total food eaten by each flock:
- Flock [tex]\(X\)[/tex]: 147 pieces
- Flock [tex]\(Y\)[/tex]: 93 pieces
- Flock [tex]\(Z\)[/tex]: 60 pieces

2. Total food eaten by all flocks:
- Total food eaten: 300 pieces

3. Calculate the percentage of food eaten by each flock:
- For Flock [tex]\(X\)[/tex]:
[tex]\[ \text{Percentage of food eaten by Flock } X = \left(\frac{147}{300}\right) \times 100\% = 49.0\% \][/tex]
- For Flock [tex]\(Y\)[/tex]:
[tex]\[ \text{Percentage of food eaten by Flock } Y = \left(\frac{93}{300}\right) \times 100\% = 31.0\% \][/tex]
- For Flock [tex]\(Z\)[/tex]:
[tex]\[ \text{Percentage of food eaten by Flock } Z = \left(\frac{60}{300}\right) \times 100\% = 20.0\% \][/tex]

## Step 2: Calculate the Simulated Number of Birds in Each Flock for the 3rd Generation

1. Total number of birds:
- Total birds: 30

2. Calculate the simulated number of birds for each flock based on the food percentage:
- For Flock [tex]\(X\)[/tex]:
[tex]\[ \text{Number of birds in Flock } X = \left(\frac{49.0}{100}\right) \times 30 = 14.7 \][/tex]
- For Flock [tex]\(Y\)[/tex]:
[tex]\[ \text{Number of birds in Flock } Y = \left(\frac{31.0}{100}\right) \times 30 = 9.3 \][/tex]
- For Flock [tex]\(Z\)[/tex]:
[tex]\[ \text{Number of birds in Flock } Z = \left(\frac{20.0}{100}\right) \times 30 = 6.0 \][/tex]

Let's fill in the table:

\begin{tabular}{|c|c|c|c|}
\hline & Flock [tex]$X$[/tex] & Flock [tex]$Y$[/tex] & Flock [tex]$Z$[/tex] \\
\hline \begin{tabular}{l}
Total Pieces of Food Eaten \\
(from previous page)
\end{tabular} & 147 & 93 & 60 \\
\hline Food Percentage & 49.0\% & 31.0\% & 20.0\% \\
\hline Simulated Number of Birds in Flock for 3rd Generation* & 14.7 & 9.3 & 6.0 \\
\hline
\end{tabular}

The table is now complete with calculated values for the food percentage and simulated number of birds in each flock for the 3rd generation.

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