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Step 5: Use the data to model the sizes of the flocks in the second generation.

\begin{tabular}{|l|l|l|l|}
\cline {2-4} \multicolumn{1}{c|}{} & Flock X & Flock Y & Flock Z \\
\hline
\begin{tabular}{l}
Total Pieces of Food Eaten \\
(from previous page)
\end{tabular} & 123 & 99 & 78 \\
\hline
Food Percentage & & \% & \\
\hline
Simulated Number of Birds in Flock for 2nd 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
Alright, let's break this down step-by-step:

1. Total Pieces of Food Eaten by Each Flock:
- From the previous data, we have:
- Flock X: 123 pieces of food
- Flock Y: 99 pieces of food
- Flock Z: 78 pieces of food

2. Total Pieces of Food Eaten:
- The total number of pieces of food eaten by all the flocks is 300 pieces.

3. Calculate Food Percentage for Each Flock:
- To find the food percentage for each flock, divide the total pieces of food eaten by each flock by 300.
[tex]\[ \text{Food Percentage for Flock X} = \frac{123}{300} = 0.41 \][/tex]
[tex]\[ \text{Food Percentage for Flock Y} = \frac{99}{300} = 0.33 \][/tex]
[tex]\[ \text{Food Percentage for Flock Z} = \frac{78}{300} = 0.26 \][/tex]

4. Simulated Number of Birds in Each Flock for 2nd Generation:
- The total number of birds for the next generation is given as 30.
- Multiply each flock’s food percentage by the total number of birds (30):
[tex]\[ \text{Simulated Number of Birds for Flock X} = 0.41 \times 30 \approx 12.3 \][/tex]
[tex]\[ \text{Simulated Number of Birds for Flock Y} = 0.33 \times 30 \approx 9.9 \][/tex]
[tex]\[ \text{Simulated Number of Birds for Flock Z} = 0.26 \times 30 \approx 7.8 \][/tex]

Here is the final table with the completed calculations:
[tex]\[ \begin{tabular}{|l|l|l|l|} \hline & \text{Flock X} & \text{Flock Y} & \text{Flock Z} \\ \hline \text{Total Pieces of Food Eaten} & 123 & 99 & 78 \\ \hline \text{Food Percentage} & 0.41 & 0.33 & 0.26 \\ \hline \text{Simulated Number of Birds in Flock for 2nd Generation} & 12.3 & 9.9 & 7.8 \\ \hline \end{tabular} \][/tex]

So, the food percentage for each flock and the simulated number of birds in the second generation would be:
- Flock X:
- Food Percentage: 41%
- Simulated Number of Birds: 12.3
- Flock Y:
- Food Percentage: 33%
- Simulated Number of Birds: 9.9
- Flock Z:
- Food Percentage: 26%
- Simulated Number of Birds: 7.8

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