Question

A population of protozoa develops with a constant relative growth rate of 0.7944 per member per day. On day zero the population consists of two members. Find the population size after six days

Answer 1

`y =y_o e^(kt)`

Where
`y_o = 2` the relative growth is
`k =0.7944` and t represent the number of days.

For this case we can to find the population after the day 6 so then we need to replace t =6 in our model and we got:

`y(6) =2 e^(0.7944*6) = 234.99 \approx 235`

And for this case we can conclude that the population of protozoa for the 6 day would be approximately 235

Explanation:

We can assume that the following model can be used:

`y =y_o e^(kt)`

Where
`y_o = 2` the relative growth is
`k =0.7944` and t represent the number of days.

For this case we can to find the population after the day 6 so then we need to replace t =6 in our model and we got:

`y(6) =2 e^(0.7944*6) = 234.99 \approx 235`

And for this case we can conclude that the population of protozoa for the 6 day would be approximately 235