Question

A population of protozoa develops with a constant relative growth rate of 0.469 per member per day. On day zero the population consists of five members. Find the population size after eight days.

Answer 1

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$(1+r)^{n}$

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$(1+0.469)^{t}$ where t is number of days.

We have to put the value of t=8 to find the population after 8 days=

=5$(1.469)^{8}$

=5*21.68

=108.42

Hence the population of protozoa after 8 days is 108.42.

Learn more about compounding at brainly.com/question/24924853

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