Ecology

\frac{dP}{dt} = rP\left(1 - \frac{P}{K}\right) = 34.24

Population324

% of carrying capacity65%

Current growth rate34.2

Starting population (P0)10

Carrying capacity (K)500

Growth rate (r)0.3

Time (years)15

At t = 0, confirm the population equals the starting population you set
Move time forward until the population reaches at least 95% of the carrying capacity
Find the time where the population is closest to half of K — the point of fastest growth RATE
Push time to its maximum and confirm the population never exceeds the carrying capacity
Set the carrying capacity to its maximum, and at t = 50 confirm the population has reached at least 900