Pregunta
A population numbers 20,000 organisms initially and grows by
each year.
Suppose
represents population, and
the number of years of growth. An exponential model for the
population can be written in the form
where
Suppose
population can be written in the form
Ask by Bolton Gibson. in the United States
Nov 12,2024
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The exponential model for the population is
.
Solución

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Bonus Knowledge
The exponential growth model for the population can be expressed as
which simplifies to
. Here,
is the initial population (
) and
represents the growth factor (
), indicating a
increase each year.
In real-world application, this formula helps in predicting future populations in various fields such as wildlife management, agriculture, or even human demographics. For instance, conservationists can use this model to estimate how many species they might need to protect in order to sustain biodiversity in a region, influencing policy and funding decisions.

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