The equation represents a population of 370 animals that decreases at an annual rate of 11% is [tex]p=370(0.89)^{t}[/tex].
It is defined as the function that rapidly decreases and the value of the exponential function is always positive. It denotes with exponent y = a^x
where a is a constant and a>1.
Given that,
A population of 370 animals that decreases at an annual rate of 11%
a = 370, r = 11%
p = [tex]a(1-r)^{t}[/tex]
= [tex]370(1-0.11)^{t}[/tex]
p = [tex]370(0.89)^{t}[/tex]
Hence, The equation represents a population of 370 animals that decreases at an annual rate of 11% is [tex]p=370(0.89)^{t}[/tex].
To learn more about exponential function from the given link:
https://brainly.com/question/24429075
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