A population of bacteria triples every hour. If the initial population is 150, the population after t hours can be modeled by the function P(t) = ___________.
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's understanding of exponential growth and the ability to write an exponential function based on a given context.
Key Concept Explanation
In an exponential growth model, the population increases by a constant factor (growth factor) for each unit of time. Here, the population triples every hour, so the growth factor is 3.
Step-by-step Solution
1. Identify the initial population: 150.
2. Determine the growth factor: Since the population triples every hour, the growth factor is 3.
3. Write the exponential function:
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