Which of the following represents logistic growth curve?

Options

A.
B.
C.
D.

Answer

To determine which option represents a logistic growth curve, we need to understand the characteristics of logistic growth. Here’s a step-by-step breakdown:

### Step 1: Understand Logistic Growth
Logistic growth is a model that describes how a population grows in an environment with limited resources. It starts with a period of exponential growth, followed by a slowdown as the population reaches the carrying capacity of the environment.

### Step 2: Identify the Axes of the Graph
In a logistic growth curve:
- The **Y-axis** represents the **population size**.
- The **X-axis** represents **time**.

### Step 3: Analyze the Shape of the Curve
The logistic growth curve typically has an S-shaped (sigmoidal) curve:
- **Initial Phase**: Slow growth as the population starts to increase.
- **Exponential Phase**: Rapid increase in population size.
- **Plateau Phase**: Growth slows down as it approaches the carrying capacity, resulting in a straight line.

### Step 4: Evaluate the Options
Now, we need to evaluate the given options based on the characteristics of logistic growth:
1. **Option A**: Represents no growth (death type curve) - **Not logistic**.
2. **Option B**: Shows an S-shaped curve - **This is the correct answer**.
3. **Option C**: Represents a straight line (stationary growth) - **Not logistic**.
4. **Option D**: Shows fluctuating growth (increasing and decreasing) - **Not logistic**.

### Conclusion
Based on the analysis, **Option B** represents the logistic growth curve.

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