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The question in the image asks for the predicted population in 2032 if the growth rate is 2% per year, starting from the population of 108,000 in 2022. We can use the formula for exponential growth to calculate this:

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

Where:
- \(P(t)\) is the population after time \(t\),
- \(P_0\) is the initial population (108,000),
- \(r\) is the growth rate (2% = 0.02),
- \(t\) is the number of years (2032 - 2022 = 10 years).

Let's calculate this.The predicted population in 2032, assuming a 2% annual growth rate, is approximately 131,651.

Would you like more details or have any questions? Here are some related questions to consider:

1. How would the population change if the growth rate was reduced to 1.5% per year?
2. What would the population be in 2042 if the 2% growth rate continues?
3. How long would it take for the population to double at the 2% growth rate?
4. How does exponential growth compare to linear growth in population modeling?
5. What impact would a higher growth rate (e.g., 4.5%) have on housing and jobs?

**Tip**: Exponential growth can lead to surprising increases over long periods, even with small annual growth rates.

A city with a 2022 population of 108,000 has a growth control policy that limits the increase in residents to 2% per year. The predicted population in 2032 if the growth rate is 2% per year is ________.

Learn how to calculate the predicted population growth for a city using the exponential growth formula. Starting with a population of 108,000 in 2022 and an annual growth rate of 2%, predict the population in 2032. This example covers exponential growth concepts suitable for students in Grades 9-12.

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