Question

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 1

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

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

we are to find the population after 14 years,

when t = 14

`y=18000(1.09)^(14)=60151.08649`

Therefore, the population of the birds is about 60151