Question:
Which of the following depicts Exponential growth curve of a population?
Which of the following depicts Exponential growth curve of a population?
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With unlimited resources, a population grows slowly at first and then rises steeply, giving a J-shaped curve.
Updated On: Nov 12, 2026
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The Correct Option is D
Solution and Explanation
Step 1: Understanding the Concept
With unlimited resources, a population grows exponentially, as in \(\dfrac{dN}{dt} = rN\).
Step 2: Shape of the graph
The growth rate rises with population size, so the plot of size against time starts nearly flat and then shoots upward without levelling off. This is a J-shaped curve.
Step 3: Compare
The S-shaped curve that flattens at the top shows logistic growth. A rise-and-fall or falling curve shows neither model.
Final Answer:
The J-shaped curve (fourth graph) shows exponential growth. \[ \boxed{\text{(D) }\text{the fourth graph (J-shaped curve)}} \]
With unlimited resources, a population grows exponentially, as in \(\dfrac{dN}{dt} = rN\).
Step 2: Shape of the graph
The growth rate rises with population size, so the plot of size against time starts nearly flat and then shoots upward without levelling off. This is a J-shaped curve.
Step 3: Compare
The S-shaped curve that flattens at the top shows logistic growth. A rise-and-fall or falling curve shows neither model.
Final Answer:
The J-shaped curve (fourth graph) shows exponential growth. \[ \boxed{\text{(D) }\text{the fourth graph (J-shaped curve)}} \]
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