A certain bacteria population doubles every 3 hours. If the initial population is 100, what will the population be after 9 hours? Write your answer in the blank: _________.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the student's ability to apply rational exponents in a real-world context, specifically exponential growth.
Key Concept Explanation
The population doubling every 3 hours can be modeled by the expression , where is the initial population and is the time in hours.
Step-by-step Solution
1. Identify the given values: Initial population , time hours
2. Substitute into the formula:
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