Question

HELP!!! 50PTS!!!

A population of deer has a carrying capacity of 875 deer, with a maximum rate of increase of 1.0 per individual per year. Using the logistic population growth model, what is the approximate population growth rate for a population of 420 deer?
148 deer per year
218 deer per year
307 deer per year
474 deer per year

Answer 1

218!

Step-by-step explanation:

took the flvs test and got it correct

Answer 2

Option B, 218 deer per year

Step-by-step explanation:

As we know

`(dP)/(dt) = kP (1- (P)/(K))`

Where K is the carrying capacity

K is the rate constant

dP/dt is the change in population per unit time and

P is the population

Substituting the given values we get

`(dP)/(dt) = k * 420 * (1-(420)/(875))\\= 1 *420 * (1-0.48)\\= 218`

Option B is correct