218k views
0 votes
A population of a certain species of turtle is 24,000 animals and is decreasing at the rate of 10% per year.Write an equation for y, the population at time t (in years), representing the situation.y =How many turtles are in the population after 9 years?

1 Answer

6 votes

In this problem, we have an exponential decay function of the form


y=a(1-r)^t

where

a=24,000 animals

r=10%=10/100=0.10

substitute given values


\begin{gathered} y=24,000(1-0.10)^t \\ y=24,000(0.90)^t \end{gathered}

For t=9 years

substitute in the equation


\begin{gathered} y=24,000(0.90)^9 \\ y=9,298\text{ turtles} \end{gathered}

User NSUser
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories