Question

Which of the following is a correct equation for exponential growth curve?

• A. $\frac{dt}{dN}=rN$
• B. $\frac{dN}{rN}=dt$
• C. $\frac{rN}{dN}=dt$
• D. $\frac{dN}{dt}=rN$

Answer 1

The correct option is D $\frac{dN}{dt}=rN$

In exponential growth, a population's per capita (per individual) growth rate stays the same regardless of population size, making the population grow faster and faster as it gets larger. When resources are unlimited, populations exhibit exponential growth, resulting in a J-shaped curve.
Exponential growth is represented by the equation dN/dt = rN. In this equation, dN/dt is the growth rate of the population in a given instant, N is population size, t is time, and r is the per capita rate of increase, that is, how quickly the population grows per individual already in the population.