A certain species of fish in a lake has an initial population of 500. The population doubles every 4 years. After 12 years, the population will be __________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to apply exponential growth to a real-world scenario. The key is to identify the initial population, the growth factor, and the time period.
Key Concept Explanation
Exponential growth is characterized by a quantity that increases by a fixed percentage over equal intervals of time. The general form of the exponential function is (), where is the initial quantity, is the growth factor, and is the number of time periods.
Step-by-step Solution
1. Identify the initial population:
2. Determine the growth factor: Since the population doubles every 4 years,
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