Question

Which equation represents a population of 490 animals that decreases at an annual rate of 20% ?

Answer 1

The equation which represents a population of 490 animals that decreases at an annual rate of 20% is;

$P(x)=490(1+0.20)^{x}$

What is exponential function?

When the input variable x appears as an exponent in the formula $P(x)=a b^{x}$ 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:

$P(x)=490(1+0.20)^{x}$

To know more about the exponential function, here

brainly.com/question/12940982

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