https://file.aiquickdraw.com/mathbot/file/1729292389990amu2bfrv.jpg

The answers based on the provided exponential functions are:

**a.**  
- Initial population: **13,000**  
- Growth factor: **1.09**

**b.**  
- Initial population: **\( 3 \times 10^8 \)**  
- Growth factor: **6**

Let me know if you have any other questions or need further details!

Here are some related questions to expand your understanding:
1. How do you determine the growth factor in an exponential equation?
2. What is the role of the initial population in population growth models?
3. How can you express \( 3 \times 10^8 \) in standard form?
4. How do exponential functions model real-world phenomena like population growth?
5. What happens to the population when the growth factor is less than 1?

**Tip:** In exponential growth models, the base of the exponent determines whether the population is increasing or decreasing!

The following exponential functions represent population growth. Identify the initial population and the growth factor.

Learn how to determine the initial population and growth factor from exponential functions like P = 13,000 * 1.09^t. This topic introduces key concepts in population modeling using exponential growth, suitable for high school students.

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