Final answer:
Starting with 2 rabbits and each pair having 6 babies per month, after 12 months, there will be 24,576 rabbits.
Step-by-step explanation:
To calculate the number of rabbits after 12 months, we can use the information given:
- Start with 2 rabbits.
- Each pair has 6 babies per month.
First, let's calculate how many pairs of rabbits there will be after each month:
- Month 1: 2 pairs (original pair + 1 pair of babies)
- Month 2: 4 pairs (2 pairs give birth to 2 more pairs)
- Month 3: 8 pairs
- Month 4: 16 pairs
- Month 5: 32 pairs
- Month 6: 64 pairs
- Month 7: 128 pairs
- Month 8: 256 pairs
- Month 9: 512 pairs
- Month 10: 1024 pairs
- Month 11: 2048 pairs
- Month 12: 4096 pairs (final count after 12 months)
Since each pair of rabbits has 6 babies per month, we can multiply the number of pairs by 6 to find the total number of rabbits after each month:
- Month 1: 12 rabbits
- Month 2: 24 rabbits
- Month 3: 48 rabbits
- Month 4: 96 rabbits
- Month 5: 192 rabbits
- Month 6: 384 rabbits
- Month 7: 768 rabbits
- Month 8: 1536 rabbits
- Month 9: 3072 rabbits
- Month 10: 6144 rabbits
- Month 11: 12288 rabbits
- Month 12: 24576 rabbits (final count after 12 months)