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In a population of 1000 individuals, 200 new individuals were born and 100 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]0.20 - 0.10 = 0.10[/tex]
D. [tex]0.10 - 0.20 = -0.10[/tex]

Sagot :

To determine the population growth rate given the initial population, births, and deaths, follow these steps:

1. Determine the Birth Rate:
- The birth rate is calculated by dividing the number of births by the initial population.
- Given: 200 new individuals were born out of an initial population of 1000.
- Birth rate = [tex]\( \frac{200}{1000} = 0.20 \)[/tex]

2. Determine the Death Rate:
- The death rate is calculated by dividing the number of deaths by the initial population.
- Given: 100 individuals died out of an initial population of 1000.
- Death rate = [tex]\( \frac{100}{1000} = 0.10 \)[/tex]

3. Calculate the Population Growth Rate:
- The population growth rate is the difference between the birth rate and the death rate.
- Population growth rate = Birth rate - Death rate
- Therefore: Population growth rate = [tex]\( 0.20 - 0.10 = 0.10 \)[/tex]

Thus, the correct equation to calculate the population growth rate of this population is:

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

So, the answer is option C.