Question

Describe exponential growth.

Hint:

Exponential growth can continue unchecked only when resources are unlimited.

Answer 1

Step 1: Define Exponential Growth
Exponential growth occurs when the growth rate of a population is proportional to its current size. This type of growth follows a mathematical model given by the equation: \[ N(t) = N_0 e^{rt} \] where: - \( N(t) \) is the population at time \( t \) - \( N_0 \) is the initial population - \( r \) is the growth rate - \( t \) is time
Step 2: Characteristics of Exponential Growth
Exponential growth leads to a rapid increase in the number of individuals in a population. For example, bacteria or viruses may exhibit exponential growth in favorable conditions.
Step 3: Real-World Example
In ecology, exponential growth is often observed in species that face no constraints such as limited resources.
Final Answer: Exponential growth is a process where the rate of change is proportional to the current population, leading to rapid, continuous growth over time.