Question

Read the following statements (A - D) related to the exponential growth model and select the correct option stating true (T) and false (F).

A. This model is followed by populations growing in areas with limited resources
B. It is represented by a S-shaped growth curve
C. In this model, the rate of change of population density is represented as dN/dt = rN

• A. A - T, B - F, C - T
• B. A - F, B - T, C - T
• C. A - F, B - F, C - T
• D. A - T, B - F, C - F

Answer 1

The correct option is C A - F, B - F, C - T

In exponential growth model, the population size increases at an exponential rate as the availability of resources (food, shelter, etc.) are unlimited. So statement A is false.

This exponential growth model results in a ‘J’ - shaped growth curve, where population density (N) is plotted in relation to time ‘t’. Population density is the number of people per unit area. So statement B is false.

Figure: J- shaped Exponential growth curve

In the exponential growth model, the rate of change of population density is represented as

dN/dt = rN

where,
dN represents the change in the population density
dt represents the change in time ‘t’
r represents the intrinsic rate of natural increase. It is the difference between the birth rate and death rate in a population.