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Answered

The population of a community, p(x), is modeled by this exponential function, where x represents the number of years since the population started being,
recorded.
P(x) = 2,400(1.025)
What is the approximate population 3 years after the population started being recorded?

Answer :

MrRoyalgo

An exponential model is used to represent growth of a population

The population after 3 years is 2585

The function is given as:

[tex]\mathbf{P(x) = 2400(1.025)^x}[/tex]

3 years after, means that x = 3

So, we have:

[tex]\mathbf{P(3) = 2400(1.025)^3}[/tex]

Evaluate exponents

[tex]\mathbf{P(3) = 2400 \times 1.076890625}[/tex]

[tex]\mathbf{P(3) = 2584.5375}[/tex]

Approximate

[tex]\mathbf{P(3) = 2585}[/tex]

Hence, the population after 3 years is 2585

Read more about population growth at:

https://brainly.com/question/3160736

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