A certain type of bacteria doubles every 2 hours. If there are initially 100 bacteria, how many bacteria will there be after 6 hours? The function formula is . The number of bacteria after 6 hours is _______.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to apply the exponential growth formula () to a real-world scenario involving periodic doubling. The key is to correctly identify the initial quantity, the growth factor, and the number of periods.
Key Concept Explanation
Exponential growth occurs when a quantity increases by a constant factor over equal intervals of time. The formula () represents this, where is the initial quantity, is the growth factor, and is the number of time intervals.
Step-by-step Solution
1. Identify the initial quantity
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