Answered

Get the information you need from a community of experts on IDNLearn.com. Join our Q&A platform to get accurate and thorough answers to all your pressing questions.

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 :

Abidemiokinidn

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

#SPJ1

We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Your questions find clarity at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.