Using an exponential function, it is found that there will be 32,866 pigeons in 13 years.
What is an exponential function?
An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
The initial value and the growth rate are given by:
A(0) = 9520, r = 0.1.
Hence the function is given by:
[tex]A(t) = 9520(1.1)^t[/tex]
Hence in 13 years, the amount of pigeons will be of:
[tex]A(13) = 9520(1.1)^{13} = 32866[/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
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