23.9k views
1 vote
A species of animal is discovered on an island. Suppose that the population size of the species can be modeled by the following function, where time t is measured in years. P(t) = 520/1 + 8e-0.3t Find the initial population size of the species and the population size after years.

User Jaymin
by
5.4k points

1 Answer

3 votes

Answer:

The initial population size is of 58.

The population size of the specie after t years is given by:


P(t) = \frac{520}{1 + 8e^(-0.3t)

Explanation:

Population size of the specie:

The population size of the specie after t years is given by:


P(t) = \frac{520}{1 + 8e^(-0.3t)

Initial population size

This is P when
t = 0, that is,
P(0). So


P(0) = \frac{520}{1 + 8e^(-0.3*0) = (520)/(1+8) = (520)/(9) = 57.7

Rounding to the nearest number, 58

The initial population size is of 58.

User Olgun Kaya
by
5.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.