If the growth rate is 0.469 per member per day and in the beginnning there are 5 members then the population size after eight days is 108.42.
Given growth of population of protozoa 0.469 per member per day and population in beginninng is 5 members.
We have to find the population afte eight days.
First of all we have to find the function or equation showing sum of population after t days.
Because it is given that the rate is 0.469 per member per day it means it is like compounding.
The equation which shows the sum after compounding is P[tex](1+r)^{n}[/tex]
where P is the amount in beginning, r is the rate and n is the number of years.
In this problem the equation will be 5[tex](1+0.469)^{t}[/tex] where t is number of days.
We have to put the value of t=8 to find the population after 8 days=
=5[tex](1.469)^{8}[/tex]
=5*21.68
=108.42
Hence the population of protozoa after 8 days is 108.42.
Learn more about compounding at https://brainly.com/question/24924853
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