If the population of a town grows exponentially and can be modeled by the function , where t represents the number of years, the initial population of the town is __________.
Answer & Analysis
Analysis
Question Analysis
This question involves an exponential growth function applied to a real-world scenario (population growth).
The main focus is on identifying the initial value (starting amount) in the standard form of an exponential function.
Key Concept Explanation
The standard form of an exponential function is (where and ), where:
a = initial value (the value of the function when , since for any ),
b = growth/decay factor ( for growth, for decay),
x = independent variable (often time).
Step-by-step Solution
1. Recognize the given function
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