Answered

In a population of 1000 individuals, 100 new individuals were born and 200 individuals died over the course of 1 year. Which equation shows how to calculate the population growth rate of this population?

A. [tex]\(0.10 \times 0.20 = 0.02\)[/tex]
B. [tex]\(0.20 + 0.10 = 0.30\)[/tex]
C. [tex]\(0.10 - 0.20 = -0.10\)[/tex]
D. [tex]\(0.20 - 0.10 = 0.10\)[/tex]



Answer :

To determine the population growth rate, follow these steps:

1. Determine the birth rate:
- The birth rate is calculated by taking the number of new individuals born and dividing it by the initial population.
- Birth rate = (Number of births) / (Initial population)
- Birth rate = 100 / 1000
- Birth rate = 0.10

2. Determine the death rate:
- The death rate is calculated by taking the number of individuals who died and dividing it by the initial population.
- Death rate = (Number of deaths) / (Initial population)
- Death rate = 200 / 1000
- Death rate = 0.20

3. Calculate the population growth rate:
- The population growth rate is determined by subtracting the death rate from the birth rate.
- Population growth rate = Birth rate - Death rate
- Population growth rate = 0.10 - 0.20
- Population growth rate = -0.10

Therefore, the correct equation to show how to calculate the population growth rate of this population is:

[tex]\( \boxed{C.\ 0.10 - 0.20 = -0.10} \)[/tex]