Which one of the following graphs show the relationship between the rate of an enzymatic activity and substrate conc(S) -

Options

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B.
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D.

Answer

To determine the correct graph that shows the relationship between the rate of enzymatic activity and substrate concentration, we need to understand the fundamental principles of enzyme kinetics.

### Step-by-Step Solution:

1. **Understanding Enzyme Kinetics**: Enzymes are biological catalysts that speed up chemical reactions. The rate of an enzymatic reaction is influenced by several factors, one of which is the concentration of the substrate.

2. **Graph Characteristics**: The typical graph that represents the relationship between the rate of enzymatic activity (reaction velocity) and substrate concentration (S) is known as the Michaelis-Menten curve.

3. **Michaelis-Menten Model**: According to this model:
- At low substrate concentrations, the reaction rate increases linearly with an increase in substrate concentration.
- As substrate concentration increases, the rate of reaction approaches a maximum velocity (Vmax) where all enzyme active sites are saturated.
- Eventually, the graph levels off, indicating that adding more substrate does not increase the reaction rate.

4. **Identifying the Correct Graph**: Look for a graph that starts with a steep incline (indicating increased reaction rate with increased substrate concentration), then gradually levels off as it approaches a maximum rate (Vmax).

5. **Conclusion**: Among the options provided, the graph that matches the description of the Michaelis-Menten relationship will be the correct answer.