A population of bacteria doubles every 3 hours. If the initial population is 500, the population after 9 hours can be expressed as (t represents a time period). The value of is _________.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the understanding of exponential growth and the ability to identify the growth rate .
Key Concept Explanation
In the model , represents the periodic growth rate. For a population that doubles, must be such that equals 2 when is the doubling time.
Step-by-step Solution
1. The bacteria double every 3 hours. In 9 hours, there are
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