Rats have recently become a nuisance in Norwood. Efforts to control the rat problem have led to the rat population declining by 15% every year. If the town currently has 13,000 rats, how many rats will there be in 3 years?

Respuesta :

The exponential function is given by y = 13000(0.85)ˣ, the amount of rats in 3 years is 7984

What is an exponential function?

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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