What is the per capita rate of increase (r) for a population whose per capita birth rate equals 0.1 and per capita death rate equals 0.05?

If the annual per capita birth rate (b) for a population is 0.1, how many births will occur in a year if the initial population size is 1000 individuals?

To find the per capita rate of increase (r), we use the formula:

r = b - d

where b is the per capita birth rate and d is the per capita death rate.

Given that the per capita birth rate (b) equals 0.1 and the per capita death rate (d) equals 0.05, we can substitute these values into the formula:

r = 0.1 - 0.05

r = 0.05

Therefore, the per capita rate of increase (r) for the population is 0.05.

To calculate the number of births in a year, we multiply the per capita birth rate (b) by the initial population size.

Given that the annual per capita birth rate (b) is 0.1, and the initial population size is 1000 individuals, we can use the following formula:

Number of births = b * initial population size

Number of births = 0.1 * 1000

Number of births = 100

Therefore, if the initial population size is 1000 individuals and the annual per capita birth rate is 0.1, there will be 100 births in a year.

To calculate the per capita rate of increase (r) for a population, you subtract the per capita death rate (d) from the per capita birth rate (b).

In this case, the per capita birth rate is 0.1 and the per capita death rate is 0.05.

So, to find the per capita rate of increase (r), you subtract the death rate from the birth rate: r = b - d.

Substituting the values, we have r = 0.1 - 0.05 = 0.05.

Therefore, the per capita rate of increase for this population is 0.05.

To determine the number of births that will occur in a year, you multiply the per capita birth rate (b) by the initial population size.

Given that the initial population size is 1000 individuals and the annual per capita birth rate is 0.1, we can calculate the number of births as follows:

Number of births = per capita birth rate * population size
= 0.1 * 1000
= 100.

Therefore, if the initial population size is 1000 individuals and the annual per capita birth rate is 0.1, there will be 100 births in a year.