The exponential function is given by y = 13000(0.85)ˣ, the amount of rats in 3 years is 7984
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 x year.
The initial population of 13000 rats, hence a = 13000
The rat population declining by 15% every year. b = 1 - 0.15 = 0.85
The exponential function is given by y = 13000(0.85)ˣ
In 3 years; y = 13000(0.85)³ = 7984
The exponential function is given by y = 13000(0.85)ˣ, the amount of rats in 3 years is 7984
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