If the rabbit population doubles every month and is 32 at the end of the first month, we can find the population after eight months by continuing to double the population each month.
Starting at the end of the first month:
- Month 1: 32 rabbits
- Month 2: 32 * 2 = 64 rabbits
- Month 3: 64 * 2 = 128 rabbits
- Month 4: 128 * 2 = 256 rabbits
- Month 5: 256 * 2 = 512 rabbits
- Month 6: 512 * 2 = 1024 rabbits
- Month 7: 1024 * 2 = 2048 rabbits
- Month 8: 2048 * 2 = 4096 rabbits
Thus, after eight months, there will be 4096 rabbits.