A city's population grows by 20% every 5 years. If the current population is 10,000, the population after 15 years will be ______.
Answer & Analysis
Analysis
Question Analysis
This question evaluates 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 grows by 20% every 5 years,
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