Sure, let's complete the rabbit population for each month step by step.
Month 9:
Starting from Month 8, we have 302 rabbits. Each month, 6 new rabbits mature and each of these 6 rabbits has 12 kits.
[tex]\[ \text{New rabbits each month} = 6 \times 12 = 72 \][/tex]
Therefore, for Month 9:
[tex]\[ \text{Rabbits in Month 9} = \text{Rabbits in Month 8} + \text{New rabbits} = 302 + 72 = 374 \][/tex]
Month 10:
Starting from Month 9, we have 374 rabbits.
[tex]\[ \text{New rabbits each month} = 72 \][/tex]
Therefore, for Month 10:
[tex]\[ \text{Rabbits in Month 10} = \text{Rabbits in Month 9} + \text{New rabbits} = 374 + 72 = 446 \][/tex]
Month 11:
Starting from Month 10, we have 446 rabbits.
[tex]\[ \text{New rabbits each month} = 72 \][/tex]
Therefore, for Month 11:
[tex]\[ \text{Rabbits in Month 11} = \text{Rabbits in Month 10} + \text{New rabbits} = 446 + 72 = 518 \][/tex]
Month 12:
Starting from Month 11, we have 518 rabbits.
[tex]\[ \text{New rabbits each month} = 72 \][/tex]
Therefore, for Month 12:
[tex]\[ \text{Rabbits in Month 12} = \text{Rabbits in Month 11} + \text{New rabbits} = 518 + 72 = 590 \][/tex]
Thus, the completed table is:
\begin{tabular}{ll}
Month & Rabbits \\
\hline 1 & 2 \\
2 & 14 \\
3 & 26 \\
4 & 38 \\
5 & 50 \\
6 & 62 \\
7 & 146 \\
8 & 302 \\
9 & 374 \\
10 & 446 \\
11 & 518 \\
12 & 590 \\
\end{tabular}
