Respuesta :

If the number of people, y, who have heard a rumor is growing at a rate proportional to how many have heard it, then we get the differential equation y' = ky, where y' = dy/dt. In this case the growth is exponential, and the solution is y = A ekt . The graph keeps getting higher and steeper forever.

A exponential growth curve is formed when a population increases rapidly at a constant rate whereas a logistic growth curve is the decrease the growth of the population with respect to time both of these depends upon the carrying capacity of the environment. The logical growth curve is S-shaped curve and a exponential growth curve is a J-shaped curve.