The exponential function is given by [tex]y = 3750(1.0215)^t[/tex], in 2036 the population is 5160.
An exponential function is in the form:
y = abˣ
Where y,x are variables, a is the initial value of y and b is the multiplication factor.
Let y represent the population of the chicken after t years after 2021.
In 2021 with an initial population of 3750 chickens, hence a = 3750.
The farm grows at a rate of 2.15% annually, hence b = 1 + 0.0215 = 1.0215
The exponential function is given by [tex]y = 3750(1.0215)^t[/tex]
In 2036, t = 2036 - 2021 = 15 years
[tex]y = 3750(1.0215)^{15}=5160[/tex]
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