A town has a population of 17000 and grows at 4% every year. What will be the population after 12 years, to the nearest whole number?


To calculate the population after 12 years with an annual growth rate of 4%, we can use the formula for exponential growth:

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

Where:
- \( P(t) \) is the population after time \( t \).
- \( P_0 \) is the initial population (17,000).
- \( r \) is the growth rate (4% or 0.04).
- \( t \) is the number of years (12).

Let's calculate it:

\[
P(12) = 17000 \times (1 + 0.04)^{12}
\]

\[
P(12) = 17000 \times (1.04)^{12}
\]

I'll compute the result now.The population of the town after 12 years, rounded to the nearest whole number, will be approximately **27,218**.

Would you like more details or have any further questions?

Here are five related questions for further exploration:
1. How long would it take for the population to double at the same growth rate?
2. What would the population be after 20 years?
3. How would the population change if the growth rate was 5% instead of 4%?
4. How does a decrease in the growth rate affect long-term population growth?
5. What is the annual increase in population after 5 years?

**Tip:** For small percentage increases, the "Rule of 70" can estimate the doubling time by dividing 70 by the growth rate percentage.

A town has a population of 17000 and grows at 4% every year. What will be the population after 12 years, to the nearest whole number?

Discover how to calculate the population of a town that grows at a 4% annual rate. With an initial population of 17,000, learn how to use the exponential growth formula to find the population after 12 years. Perfect for students in Grades 9-12.

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