Otukpo Local government area in benue state Nigeria in
2006, 266411  population,2.3% annual population change. Using The exponential model of projection project from2006-2034 in calculating no approximations calculate in full figures

To project the population of Otukpo Local Government Area in Benue State, Nigeria from 2006 to 2034 using the exponential growth model, we can use the following formula:

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

Where:
- \( P(t) \) is the population at time \( t \) years after the initial year.
- \( P_0 \) is the initial population.
- \( r \) is the annual growth rate (expressed as a decimal).
- \( t \) is the number of years since the initial year.
- \( e \) is the base of the natural logarithm (approximately 2.71828).

Given:
- Initial population \( P_0 = 266411 \) (in 2006).
- Annual growth rate \( r = 2.3\% = 0.023 \).
- The number of years \( t \) from 2006 to 2034 is \( 2034 - 2006 = 28 \) years.

Now, let's calculate the projected population for the year 2034.

\[
P(28) = 266411 \times e^{0.023 \times 28}
\]

Let's calculate this step by step.The projected population of Otukpo Local Government Area in Benue State, Nigeria for the year 2034, using the exponential growth model, is approximately **507,268**.

Would you like further details on the calculation, or do you have any questions? Here are some related questions you might find interesting:

1. How would the population change if the annual growth rate was 3% instead of 2.3%?
2. What is the population projection for the year 2050 using the same growth rate?
3. How does exponential growth compare to linear growth in population projections?
4. Can you explain the impact of different time periods on population projections?
5. How can this model be used for short-term projections (e.g., 5 years)?

**Tip:** When working with exponential growth models, small changes in the growth rate or time period can lead to significant differences in the projected outcomes.

Calculate the population projection for Otukpo Local Government Area in Benue State, Nigeria from 2006 to 2034 using the exponential growth model. Starting with an initial population of 266,411 in 2006 and an annual growth rate of 2.3%, find the projected population for 2034.

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