Question

What is a initial population for an exponential function represented in an equation that represents the function?

Answer 1

The initial population is represented by $P_{0}$ which is the population at $t=0$, in other words $P_{0}=20,000$

Explanation:

Suppose you have the following problem:

The population of Naguanagua in 2019 is estimated to be 20,000 people with an annual rate of increase of 4%. Which equation models the population of Naguanagua in t years?

Let:

$P:Population \ of \ Naguanagua \\ \\ t:Number \ of \ years \ since \ 2019 \\ \\ r:Rate \ of \ increase$

So the population of Naguanagua can be modeled by the following equation:

$P=P_{0}(1+r)^t \\ \\ P_{0}=20,000 \\ \\ r=4\%=0.04 \\ \\ \\ P=20,000(1+0.04)^t \\ \\ P=20,000(1.04)^t$

So the initial population is represented by $P_{0}$ which is the population at $t=0$, in other words $P_{0}=20,000$

Learn more:

Modeling Population: brainly.com/question/12485298

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