Question

The population of protozoa develops with a constant relative growth rate of 0.9699 per member per day. On day zero the population consists of six members. Find the population size after five days. (Round your answer to the nearest whole number.)

Answer 1

There would be a population of about 766 protozoa

Explanation:

P = population size

t = time variable

and the initial condition is

(
`P_(0)`) = 6

Using the following formula for population growth

`P_(t)`=
`P_(0)`
`e^(kt)`

The population size after five days is

`P_(5)` = 6
`e^(5(0.9699))` = 766.06

about 766