Answer:
The initial population size is of 58.
The population size of the specie after t years is given by:
[tex]P(t) = \frac{520}{1 + 8e^{-0.3t}[/tex]
Step-by-step explanation:
Population size of the specie:
The population size of the specie after t years is given by:
[tex]P(t) = \frac{520}{1 + 8e^{-0.3t}[/tex]
Initial population size
This is P when [tex]t = 0[/tex], that is, [tex]P(0)[/tex]. So
[tex]P(0) = \frac{520}{1 + 8e^{-0.3*0} = \frac{520}{1+8} = \frac{520}{9} = 57.7[/tex]
Rounding to the nearest number, 58
The initial population size is of 58.