A certain culture of the bacterium Rhodobacter sphaeroides initially has 45 bacteria and is observed to double every 5 hours. (a) Find an exponential model n(t)

The exponential model n(t) is

Step-by-step explanation:

Exponential model of population growth:

An exponential model for population growth has the following model:

In which n(0) is the initial value and r is the growth rate, as a decimal.

Observed to double every 5 hours.

This means that

We use this to find 1 + r. So

So

Initially has 45 bacteria

This means that . So

The exponential model n(t) is

ci

step-by-step explanation:

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !