Question

Help with Logistic growth function

Answer 1

On a computer network of 25,000 computers, one computer spreads a vicious virus. The total number of computers on the network that contract the virus after t hours is modeled by P(t)=25000/1+99e^-0.565t . According to this model, estimate how many hours it will take for three-quarters of all of the computers to contract the virus.

Answer 2

\(\Huge\color{red}{ P(t)=\frac{25000}{1+99e^{-0.565t}} }\) right? or what?

Answer 3

mhm right

Answer 4

are you sure?

Answer 5

oops meant R not P

Answer 6

can you draw it, please?

Answer 7

\[R(t)=\frac{ 25000 }{ 1+99e ^{0.565t} }\]

Answer 8

sorry i had to go for a second

Answer 9

The exponent is negative and 3/4 of 25000 is 18750

Answer 10

so re-write it with a positive exponent.

Answer 11

\[R(t)=\frac{ 25000 }{ 1+99e ^{-0.565t} }\]

Answer 12

I am thinking of a way to re-write it with positive exponent.