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To estimate the country's population in 2027 using the given exponential growth model, we can apply the formula for population growth:

\[
P(t) = P_0 \times (1 + r)^t
\]

Where:
- \(P(t)\) is the population after \(t\) years.
- \(P_0\) is the initial population (in 2011, it's 185 million).
- \(r\) is the growth rate (1.629% or 0.01629 as a decimal).
- \(t\) is the time in years from 2011 to 2027, so \(t = 2027 - 2011 = 16\).

Now, we can calculate the population in 2027. Let me compute that for you.The estimated population in 2027 will be approximately 239.58 million (rounded to the nearest hundredth).

Would you like further details or have any questions?

Here are some related questions to deepen your understanding:

1. What is the difference between linear and exponential growth in population models?
2. How does changing the growth rate affect the population prediction?
3. Can exponential growth continue indefinitely in real-world populations?
4. What are other models used to estimate future populations besides exponential models?
5. How would the calculation change if the growth rate varied each year?

**Tip:** When using exponential growth models, small changes in the growth rate can lead to significant differences over long periods of time.

A country's population and the growth rate in 2011 are given below. Use this information and an exponential model to estimate the country's population in the specified year. Population = 185 million; Growth rate = 1.629%; Year = 2027.

Estimate the population in 2027 using the exponential growth model based on a starting population of 185 million in 2011 and a growth rate of 1.629%. This problem covers key concepts in exponential growth and population modeling. Suitable for high school students.

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