Project the population of kastina ala local government area in Benue State from 2006_2024, with the growth rate of 2.3% and initial population of 225471 using Exponencial method of projection

To project the population of Kastina-Ala Local Government Area in Benue State from 2006 to 2024 using the exponential method, we can use the following formula:

\[
P(t) = P_0 \times e^{(rt)}
\]

Where:
- \( P(t) \) is the projected population at time \( t \).
- \( P_0 \) is the initial population (225,471 in 2006).
- \( r \) is the growth rate (2.3% or 0.023).
- \( t \) is the number of years from the base year (2006).

### Step-by-Step Calculation

1. **Identify the Variables:**
   - Initial population \( P_0 = 225,471 \)
   - Growth rate \( r = 2.3\% = 0.023 \)
   - Time period \( t = 2024 - 2006 = 18 \) years

2. **Apply the Formula:**
   \[
   P(18) = 225,471 \times e^{(0.023 \times 18)}
   \]

3. **Calculate the Exponential Factor:**
   \[
   e^{(0.023 \times 18)} = e^{0.414} 
   \]

4. **Compute the Value:**

Let's compute this step.The projected population of Kastina-Ala Local Government Area in Benue State for the year 2024, using the exponential method, is approximately **341,105**.

Would you like more details on this calculation or have any questions?

Here are some related questions:
1. How would the population change if the growth rate was different?
2. How can this projection method be applied to other regions?
3. What are the assumptions behind using the exponential method for population projection?
4. How does the exponential method compare to the arithmetic method of population projection?
5. What impact does population growth have on local government planning?

**Tip:** The exponential method assumes continuous growth, which may not account for real-world fluctuations like migration or changes in birth and death rates.

Explore the exponential method of population projection for Kastina-Ala Local Government Area in Benue State from 2006 to 2024. Understand how to calculate projected populations using growth rates and initial population data. Detailed step-by-step solution and calculations provided.

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