A population of bacteria doubles every 3 hours. If the initial population is 200, what will be the population after 12 hours?
Answer & Analysis
Analysis
Question Analysis
This problem tests the understanding of exponential growth in a real-world context, specifically with a doubling time.
Key Concept Explanation
Exponential growth can also be modeled when a quantity doubles at regular intervals. The general model is , where:
: The quantity after time periods;
: The initial quantity;
: The base (doubling factor);
: The time interval for doubling.
Step-by-step Solution
1. Identify the given values: , , and
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