Question

Despite control measures, the pigeon population in Winchester is increasing by 10% each year. If there are currently 9,520 pigeons, how many pigeons will there be in 13 years?
If necessary, round your answer to the nearest whole number.

Answer 1

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:

$A(t) = A(0)(1 + r)^t$

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:

$A(t) = 9520(1.1)^t$

Hence in 13 years, the amount of pigeons will be of:

$A(13) = 9520(1.1)^{13} = 32866$

More can be learned about exponential functions at brainly.com/question/25537936

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