The equation which represents a population of 490 animals that decreases at an annual rate of 20% is;
![P(x)=490(1+0.20)^{x}](https://tex.z-dn.net/?f=P%28x%29%3D490%281%2B0.20%29%5E%7Bx%7D)
<h3>What is exponential function?</h3>
When the input variable x appears as an exponent in the formula
the exponential function is indicated.
The exponential curve is influenced by both the exponential function and thus the value of x.
where, a = initial value.
b = 1 + r (rate of increase or decrease)
The animals' original population is indicated here by: 490
Thus, a = 490
Additionally, 20% is the rate of increase.
So, r = 20%
r = 0.20
As a result, the population function, or the number of animals in a population, is as follows:
![P(x)=490(1+0.20)^{x}](https://tex.z-dn.net/?f=P%28x%29%3D490%281%2B0.20%29%5E%7Bx%7D)
To know more about the exponential function, here
brainly.com/question/12940982
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