A yeast culture grows exponentially by the model , where is the number of yeast cells after hours. The number of yeast cells after 2 hours is ________.
Answer & Analysis
Analysis
Question Analysis
This question involves a basic exponential growth model with base 3. The main focus is on substituting a small whole-number time value into the model to find the total quantity of yeast cells.
Key Concept Explanation
The exponential growth model here is , where:
(initial number of yeast cells at )
(growth factor; the yeast triples every hour)
= time in hours
To find , compute the exponential term first, then multiply by the initial count.
Step-by-Step Solution
List known values: ,
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