Question

If the initial population is 3100 ​[that is, ​p(0)equals 3.1​], what can be said about the limiting population ModifyingBelow lim With t right arrow plus infinity p (t )​? If ​p(0)equals 3.1​, then ModifyingBelow lim With t right arrow plus infinity p (t )equals2.5. The population will decrease and level off.

Answer 1

Explanation:

Given that initial population is 3100

The population is decreasing continuously which means the population at any time t can be represented by the funciton

`P = P_0 e^(-rt)`

where t = time and r = rate

The population is continuously decreasing at the rate of r% per unit of time.

When t becomes very large,

we get limit would be P0 (0) =0

The population will decrease and almost tend to 0 as time advances.

There is no chance for further decrease as population cannot be negative

So limiting population is 0.