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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
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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
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