A certain population of bacteria doubles every 3 hours. If the initial population is 500, write the exponential function that models the population after t hours. The function is P(t) = ____ .
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to write an exponential function that models a real-world scenario involving exponential growth.
Key Concept Explanation
The core expression of an exponential function is (b > 0; b ≠ 1), where is the initial value, is the base, and is the independent variable. In real-world scenarios, the base represents the growth factor, and the exponent represents the time.
Step-by-step Solution
1. Identify the initial population :
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