Answered

Question 10 of 10

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



Answer :

GinnyAnswer
To determine the population growth rate, we need to follow these steps:

1. Calculate the birth rate: The birth rate is the number of births divided by the initial population.
[tex]\[ \text{Birth rate} = \frac{\text{Number of births}}{\text{Initial population}} \][/tex]
Given the numbers:
[tex]\[ \text{Birth rate} = \frac{100}{1000} = 0.10 \][/tex]

2. Calculate the death rate: The death rate is the number of deaths divided by the initial population.
[tex]\[ \text{Death rate} = \frac{\text{Number of deaths}}{\text{Initial population}} \][/tex]
With the provided information:
[tex]\[ \text{Death rate} = \frac{200}{1000} = 0.20 \][/tex]

3. Determine the population growth rate: The population growth rate is the difference between the birth rate and the death rate.
[tex]\[ \text{Population growth rate} = \text{Birth rate} - \text{Death rate} \][/tex]
Substituting the calculated values:
[tex]\[ \text{Population growth rate} = 0.10 - 0.20 = -0.10 \][/tex]

Therefore, the correct equation showing how to calculate the population growth rate is:
[tex]\[ \boxed{0.10 - 0.20 = -0.10} \][/tex]

This corresponds to option C.