A population of snails is located in a lake that has a carrying capacity of 20,000 snails. The intrinsic capacity for increase for these snails is 0.15 and the current population is 12,000. In a year, how big do you expect the snail population to be?

A. 13,800
B. 20,000
C. 12,720
D. 16,840

C. 12,720

Step-by-step explanation:

In Logistic growth,  the change in population is given by :

  ...(*)

, where P= Initial population , t= time , r= intrinsic rate and =Change in population and C = Carrying capacity.

As per given , we have

P=12,000

r=0.15

C=20,000

t=1 year

Substitute all values in (*) , we get

Now, Total population of snails after a year =

Hence, the correct answer is C. 12,720 .

bull

step-by-step explanation:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b