A population of bacteria doubles every 2 hours. If the initial population is 500, what will be the population after 6 hours? The population after 6 hours is __________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's understanding of exponential growth and the ability to apply the exponential function formula ().
Key Concept Explanation
In this problem, the initial quantity is 500, the growth factor is 2 (doubling), and the time is in 2-hour intervals. The student needs to determine the number of 2-hour periods in 6 hours.
Step-by-step Solution
1. Identify the initial quantity:
2. Identify the growth factor: (doubling every 2 hours)
3. Determine the number of 2-hour periods in 6 hours:
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