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A population of a certain species of bird is 18,000 animals and is increasing at the rate of 9% per year.Write an equation for y , the population at time t (in years), representing the situation.y= How many birds are in the population after 14 years?

Answer :

Solution

Initially, the population of a certain species of bird is 18, 000

If it increases at a rate of 9% per year,

here the rate of increase is 0.09

[tex]\begin{gathered} y=18000(1+0.09)^t \\ \\ \Rightarrow y=18,000(1.09)^t \end{gathered}[/tex]

we are to find the population after 14 years,

when t = 14

[tex]y=18000(1.09)^{14}=60151.08649[/tex]

Therefore, the population of the birds is about 60151

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