Which of the following equations corretly represents the exponential population growth curve ?

Options

A. `dN//dt = rN`
B. `dN//dt = rN((K-N)/(C))`
C. `N_(t) = N_(0)e^(rt)`
D. Both (a) and (c)

Answer

D

Explanation

If any species is flourishing under unlimited resources, it would reach exponential growth which can be depiected by equation :
`(dN)/(dt) = rN`
Where, `N =` population density at time `t = r =` intrinsic rate of natural increase. If we derive the integral form of the exponential growth equation, it can be written as
`N_(t)= N_(0) e^(rt)`
Where `N_(t) =` population density after time `t , N_(0) =` population density at time zero, `r =` intrinsic rate of natural increase, e is the base of natural logarithm.