contestada

A species of animal is discovered on an island. Suppose that the population size Pt of the species can be modeled by the following function, where time t is measured in years. =Pt600+18e−0.45t Find the initial population size of the species and the population size after 8 years. Round your answers to the nearest whole number as necessary.

A species of animal is discovered on an island Suppose that the population size Pt of the species can be modeled by the following function where time t is measu class=

Respuesta :

we have the function

[tex]P(t)=\frac{600}{1+8e^{(-0.45t)}}[/tex]

Part 1

Find out the initial population

Remember that

The initial value is for t=0

so

substitute in the given function

[tex]\begin{gathered} P(t)=\frac{600}{1+8e^{(-0.45*0)}} \\ \\ P(t)=\frac{600}{1+8} \\ P(t)=67 \end{gathered}[/tex]

the initial population is 67 individuals

Part 2

For t=8 years

substitute in the given function

[tex]\begin{gathered} P(t)=\frac{600}{1+8e^{(-0.45*8)}} \\ P(t)=492 \end{gathered}[/tex]

The answer part 2 is 492 individuals

Otras preguntas