Which of the following graph corresponds to a population of 2000 individuals, with 800 births and 1200 deaths over a given period of time?

Options

A.
B.
C.
D.

Answer

To solve the problem, we need to analyze the population dynamics based on the given data: a population of 2000 individuals, with 800 births and 1200 deaths over a specific period of time.

### Step 1: Calculate the Net Population Change
First, we need to determine the net change in the population by subtracting the number of deaths from the number of births.

\[ \text{Net Change} = \text{Births} - \text{Deaths} = 800 - 1200 = -400 \]

### Step 2: Determine the New Population Size
Next, we calculate the new population size after accounting for the births and deaths.

\[ \text{New Population} = \text{Initial Population} + \text{Net Change} = 2000 - 400 = 1600 \]

### Step 3: Calculate the Birth Rate and Death Rate
Now, we can calculate the crude birth rate and crude death rate.

- **Crude Birth Rate (CBR)**:
\[ \text{CBR} = \frac{\text{Births}}{\text{Total Population}} = \frac{800}{2000} = 0.4 \]

- **Crude Death Rate (CDR)**:
\[ \text{CDR} = \frac{\text{Deaths}}{\text{Total Population}} = \frac{1200}{2000} = 0.6 \]

### Step 4: Analyze Population Trends
Since the death rate (0.6) is greater than the birth rate (0.4), this indicates that the population is decreasing over time.

### Step 5: Identify the Correct Graph
Now, we need to find the graph that represents a decreasing population. Among the options provided, we look for a graph that shows a downward trend.

Based on the analysis, the correct option is the one that shows a decrease in population, which corresponds to the first graph.

### Final Answer
The graph that corresponds to the population dynamics described is **Option 1**.

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