Starting with 100 rabbits, the monthly net increase is 5 rabbits. After 24 months, the population grows by 120 rabbits. The final count yields 220 rabbits after two years, taking into account births, emigrations, and immigrations.
To calculate the rabbit population two years later, with an initial population of 100 rabbits and accounting for births, immigration, and emigration, we can use an arithmetic approach. Each month, 3 rabbits are born, 6 emigrate, and 8 immigrate, resulting in a net increase of 5 rabbits per month (3 births - 6 emigrations + 8 immigrations = 5). Over a period of 24 months (two years), the population grows by 24 months x 5 rabbits/month, which is 120 rabbits. Thus, the final population is the sum of the initial population and the net increase: 100 initial rabbits + 120 net increase = 220 rabbits.
After two years, factoring in the steady birth rate, emigration, and immigration, the backyard will have a total of 220 rabbits.