Sure! Let's fill in the missing values in the table step-by-step.
First, we need to calculate the food percentage for each flock.
1. Food Percentage for Flock X:
- Total pieces of food eaten by Flock X = 123
- Total pieces of food eaten overall = 300
- Food Percentage for Flock X = \( \frac{123}{300} \)
2. Food Percentage for Flock Y:
- Total pieces of food eaten by Flock Y = 99
- Total pieces of food eaten overall = 300
- Food Percentage for Flock Y = \( \frac{99}{300} \)
3. Food Percentage for Flock Z:
- Total pieces of food eaten by Flock Z = 78
- Total pieces of food eaten overall = 300
- Food Percentage for Flock Z = \( \frac{78}{300} \)
Now that we have calculated the food percentages, let's convert these into decimal form for clarity:
- Food Percentage for Flock X = 0.41
- Food Percentage for Flock Y = 0.33
- Food Percentage for Flock Z = 0.26
Next, we calculate the simulated number of birds in each flock for the 2nd generation. We do this by multiplying the food percentage for each flock by the total number of birds (30).
1. Simulated Number of Birds in Flock X:
- Food Percentage for Flock X = 0.41
- Total number of birds = 30
- Simulated Number of Birds in Flock X = \( 0.41 \times 30 = 12.3 \)(approx)
2. Simulated Number of Birds in Flock Y:
- Food Percentage for Flock Y = 0.33
- Total number of birds = 30
- Simulated Number of Birds in Flock Y = \( 0.33 \times 30 = 9.9 \)(approx)
3. Simulated Number of Birds in Flock Z:
- Food Percentage for Flock Z = 0.26
- Total number of birds = 30
- Simulated Number of Birds in Flock Z = \( 0.26 \times 30 = 7.8 \)(approx)
Now we can fill in the table:
[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} & 123 & 99 & 78 \\
\hline Food Percentage* & 41\% & 33\% & 26\% \\
\hline Simulated Number of Birds in Flock for 2nd Generation & \( 12.3 \) & \( 9.9 \) & \( 7.8 \) \\
\hline
\end{tabular}
\][/tex]
Remember, the food percentages are approximations, and in this case, we rounded the percentages from their exact decimal points (e.g., 0.41, 0.33, and 0.26). The simulated number of birds is calculated based on these percentages and the total number of birds (30).
