Question

Which of the following equations represents a growth curve that is estimated when resources are finite?

a) dn/d​t=r⋅N
b) dn/dt​=r⋅N⋅(1−N/K​)
c) dn/dt​=r⋅N⋅(1+N/K​)
d) dtdn​=r⋅N²

Answer 1

The correct answer is option b. The equation that represents a growth curve estimated when resources are finite is dn/dt = rN(1-N/K) (option b). This equation is known as the logistic growth model and it takes into account the carrying capacity (K) of the environment.

Step-by-step explanation:

The equation that represents a growth curve estimated when resources are finite is dn/dt = rN(1-N/K) (option b).This equation is known as the logistic growth model and it takes into account the carrying capacity (K) of the environment.

At low population sizes, the growth rate is exponential, but as resources become limited, the growth rate decreases and eventually levels off when the population reaches the carrying capacity of the environment.

Therefore, option b is the correct equation for estimating population growth with finite resources.