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Help with this exponential function!

A species of animal is discovered on an island. Suppose that the population size P (t) of the species can be modeled by the following function, where time t is measured in years.

Find the population size after 6 years and after 8 years.
Round your answers to the nearest whole number as necessary.

Help With This Exponential FunctionA Species Of Animal Is Discovered On An Island Suppose That The Population Size P T Of The Species Can Be Modeled By The Foll class=

Sagot :

abidemiokin

The population size after 6 years and after 8 years are 147 and 169 population respectively

Exponential functions

The standard exponential function is expressed as y = ab^x

where

a is the base

x is the exponent

Given the function that represents the population size P (t) of the species as shown;

[tex]p(t)=\frac{550}{1+5e^{-0.1t}} \\[/tex]

For the population size after 6 years

[tex]p(t)=\frac{550}{1+5e^{-0.1(6)}} \\P(6)=\frac{550}{3.744}\\ P(6)=147 population[/tex]

For the population after 8 years

[tex]p(t)=\frac{550}{1+5e^{-0.1(8)}} \\P(8)=\frac{550}{3.2466}\\ P(8)=169 population[/tex]

Hence the population size after 6 years and after 8 years are 147 and 169 population respectively

Learn more on exponential function here: https://brainly.com/question/2456547

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