A certain type of bacteria culture grows by a factor of 1.5 every 2 hours. If the initial number of bacteria is 300, the number of bacteria after 6 hours 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 quantity, 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 number of bacteria: .
2. Determine the growth factor: Since the number of bacteria grows by a factor of 1.5 every 2 hours,
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