Question

Help with this exponential function!

Answer 1

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;

$p(t)=\frac{550}{1+5e^{-0.1t}}$

For the population size after 6 years

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

For the population after 8 years

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

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

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

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