The initial population is represented by [tex]P_{0}[/tex] which is the population at [tex]t=0[/tex], in other words [tex]P_{0}=20,000[/tex]
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:
[tex]P:Population \ of \ Naguanagua \\ \\ t:Number \ of \ years \ since \ 2019 \\ \\ r:Rate \ of \ increase[/tex]
So the population of Naguanagua can be modeled by the following equation:
[tex]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[/tex]
So the initial population is represented by [tex]P_{0}[/tex] which is the population at [tex]t=0[/tex], in other words [tex]P_{0}=20,000[/tex]
Modeling Population: https://brainly.com/question/12485298
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