Answered

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



Answer :

GinnyAnswer
To determine the population growth rate of a population, we need to calculate both the birth rate and the death rate first and then find the difference between them. Here's a step-by-step guide to solve the problem.

### Step 1: Identify the Given Data
- Initial population: \( 1000 \)
- Number of births: \( 200 \)
- Number of deaths: \( 100 \)

### Step 2: Calculate the Birth Rate
The birth rate is calculated by dividing the number of births by the initial population.
[tex]\[ \text{Birth Rate} = \frac{200}{1000} = 0.20 \][/tex]

### Step 3: Calculate the Death Rate
The death rate is calculated by dividing the number of deaths by the initial population.
[tex]\[ \text{Death Rate} = \frac{100}{1000} = 0.10 \][/tex]

### Step 4: Calculate the Population Growth Rate
The population growth rate is found by subtracting the death rate from the birth rate.
[tex]\[ \text{Growth Rate} = \text{Birth Rate} - \text{Death Rate} = 0.20 - 0.10 = 0.10 \][/tex]

### Step 5: Identify the Correct Equation
From the calculations, the equation that correctly represents the population growth rate calculation is:
[tex]\[ 0.20 - 0.10 = 0.10 \][/tex]

Thus, the correct option is:
D. \( 0.20 - 0.10 = 0.10 \)

This equation correctly shows how to calculate the population growth rate of the given population.
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