Apopulation of protozoa develops with a constant relative growth rate of 0.4964 per member per day. on day zero the population consists of five members. find the population size after eight days. part 1 of 3 since the relative growth rate is 0.4964, then the differential equation that models this growth is dp dt = x.4964 .

The population size after eight days is about 265

Step-by-step explanation:

This is an example of an exponential growth model. A quantity y that grows or decays at a rate proportional to its size fits in an equation of the form

where k is a positive constant. Its solutions have the form

,

where is the initial value of y.

The population size can be calculated by using the below formula:

where is the population on day zero.

Let t be the time in days,

We know from the information given that:

To find the population size after eight days

Substitute P(0) = 5, k=0.4964 in

Then

Now we calculate P(t) when t = 8 days

Therefore the population size after eight days is about 265

because they could drop even lower..