Correct Option (C)
Curve C represents exponential growth. Exponential growth is characterized by a rate of increase that is proportional to the current quantity, leading to an accelerating growth pattern. Graphically, this is depicted by a curve that becomes progressively steeper over time, indicating a continuously increasing slope. Curve C exhibits this characteristic upward curvature with an accelerating rate of change.
Incorrect Options:
- Curve A indicates a decreasing trend, signifying decline or decay, rather than growth.
- Curve B represents linear growth. In linear growth, the rate of change is constant, resulting in a straight line with a uniform slope. This contrasts with exponential growth, where the rate of change accelerates.
- Curve D illustrates logistic growth. This pattern shows initial rapid growth, which subsequently slows down and eventually plateaus as it approaches an environmental carrying capacity or limiting factor. This is distinct from the continuous, accelerating increase observed in exponential growth.