Question

Is this right???? Can someone please help?

Answer 1

This is a logistic growth model, so, we can set the function's differential equation equal to 0 and solve for p, then for y. So, let's take the derivative of this function and set it to 0:

`(dp)/(dt) = 0.005p(300-p) = 1.5p-0.005p^2`

`(d^2p)/(dt^2) = 1.5 - 0.01p =0`

`-0.01p = -1.5`

`p = (-1.5)/(-0.01) = 150`

Now, for a logistic model, the general solution is in the form of:

`p = (L)/(1+Ce^(-ky))`
for

`(dp)/(dt) = kp(L-p)`

You haven't been given the 'C' constant, so I don't have a clue as to where to go after this. Sorry, we are yet to go over logistic growth in BC class. I could take you this far by just researching. If you have further questions, I'd be happy to answer them.