Answer:
It will increase by 24 starfish
Step-by-step explanation:
The population is modeled by the following differential equation:
[tex]\frac{dN}{dt} = rN[/tex]
Which has the following solution:
[tex]N(t) = N(0)e^{rt}[/tex]
In which N(0) is the initial population and r is the growth rate.
A population of 2000 starfish has a yearly per capita population growth rate of 0.012.
This means that [tex]N(0) = 2000, r = 0.012[/tex]
By next year, how do you expect population size to have changed?
This is N(1).
[tex]N(t) = N(0)e^{rt}[/tex]
[tex]N(1) = 2000*e^{0.012}[/tex]
[tex]N(1) = 2024[/tex]
2024 - 2000 = 24
So the correct answer is:
It will increase by 24 starfish
