The fox population in a certain region has a continuous growth rate of 5 percent per year. It is estimated that the population in the year 2000 was 21700. (a) Find a function that models the population t years after 2000 (t = 0 for 2000). Your answer is P(t) = %3D (b) Use the function from part (a) to estimate the fox population in the year 2008. Your answer is (the answer must be an integer)
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![**Continuous Growth Model of Fox Population**
The fox population in a certain region exhibits a continuous growth rate of 5% per annum. It is recorded that in the year 2000, the population was 21,700.
**Task a:**
Formulate a function to represent the population \( t \) years subsequent to the year 2000 (where \( t = 0 \) for the year 2000).
- **Function Expression:**
\( P(t) = \) [Answer Box]
**Task b:**
Utilize the function from Task (a) to estimate the fox population for the year 2008.
- **Calculation Requirement:**
[Answer Box]
**Instructions:**
- Use the established growth rate and initial population to determine the mathematical model (exponential growth formula).
- Ensure answers for Task (b) are integers.
**Interactive Feature:**
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This problem is designed to enhance understanding of exponential growth and mathematical modeling in ecological studies.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca36d7e2-2f6a-47ac-bae7-2f99c7568218%2F0753fc93-95bd-4e26-b6c4-94b4fdf7b9bc%2Fyb0z2rv.jpeg&w=3840&q=75)
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