Each month,the per capita birth rate of a population is b,and the per capita death rate is d.The initial size of the population is N.Assuming that the birth and death rates remain constant,what formula represents the population size after five months? [Hint: Think about how populations increase,and generate a formula based on that knowledge.]

Question

Quizplus · Accepted Answer

The population size after five months can be calculated using the formula N(1 + b - d)^5, where N is the initial population size. The expression (1 + b - d) represents the net reproductive rate or the average number of offspring per individual during their lifetime, taking into account both births and deaths. When this value is raised to the power of 5, it represents the cumulative effect of reproduction over five months. Therefore, the correct answer is E.

Each Month,the Per Capita Birth Rate of a Population Is