What are the formulas for population growth with and without limits?

Question

AP Biology

Answer 1

the basic formula of exponential growth is

Ln (Q / q) = (0.6931)(T) / t

Q = population at time T

q = initial population at time zero

T = elapsed time same unit as t

t = half-life same unit as T

above formula can be changed in another format

T = [  Ln(F / P)  ] / [  Ln (1 + R)  ]

T= elapsed time example year

F = future population at time T

P = present population at time zero

R = population rate of increase in decimal example 0.45/yr

the unit of R work along with T.  if T is hr, R will be 0.xx/hr