Answer:
The population size after seven days will be 171.
Step-by-step explanation:
The population of protozoa can be modeled by the following equation.
[tex]Q(t) = Q(0)(1+r)^{t}[/tex]
In which Q(t) is the population after t days, Q(0) is the initial population and r is the growth rate.
In this problem, we have that:
[tex]Q(0) = 6, r = 0.6137[/tex]
So
[tex]Q(t) = 6(1.6137)^{t}[/tex]
Find the population size after seven days.
This is Q(7).
[tex]Q(7) = 6(1.6137)^{7} = 171[/tex]
The population size after seven days will be 171.
