In a given population of 2000 indivials, 80 births and 125 deaths were reported over a given period of time. Which of the following graphs will correspond to it ?

Options

A.
B.
C.
D.

Explanation

To solve the problem regarding the population dynamics given the data of births and deaths, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Initial Population**:
The initial population is given as 2000 individuals.

2. **Determine the Number of Births**:
According to the information provided, there were 80 births reported.

3. **Determine the Number of Deaths**:
The number of deaths reported is 125.

4. **Calculate the Net Change in Population**:
To find the net change in the population, we can use the formula:
\[ \text{Net Change} = \text{Births} - \text{Deaths} \]
Substituting the values:
\[ \text{Net Change} = 80 - 125 = -45 \]
This indicates a decrease in the population.

5. **Calculate the New Population Size**:
To find the new population size after the births and deaths, we can use:
\[ \text{New Population} = \text{Initial Population} + \text{Net Change} \]
Substituting the values:
\[ \text{New Population} = 2000 - 45 = 1955 \]

6. **Interpret the Population Trend**:
Since the number of deaths (125) is greater than the number of births (80), the population is declining.

7. **Choose the Correct Graph**:
Based on the analysis, the graph that corresponds to a declining population trend should be selected. Therefore, option A, which shows a decline in population over time, is the correct choice.

### Final Answer:
The graph that corresponds to the given data is **Option A**, as it represents a declining population trend.

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