The exponential growth can be expressed as `w_(t)=w_(0)e^(n)` where e denotes

Options

A. growth rate
B. time of growth
C. base of natural logarithm
D. final size

Answer

To solve the question regarding the expression of exponential growth, we will break it down step by step.

### Step-by-Step Solution:

1. **Understanding the Equation**: The exponential growth can be expressed as \( W_t = W_0 e^{(n)} \). Here, \( W_t \) represents the size at time \( t \), \( W_0 \) is the initial size, and \( e \) is a mathematical constant.

2. **Identifying Components**:
- \( W_0 \): This is the initial size or the starting amount at the beginning of the observation period.
- \( n \): This usually represents the growth rate multiplied by time, often denoted as \( n = rt \), where \( r \) is the growth rate and \( t \) is the time.

3. **Understanding 'e'**: The letter 'e' in the equation stands for the base of the natural logarithm. It is an important constant in mathematics, approximately equal to 2.71828. This constant is used in exponential growth models because it describes continuous growth processes.

4. **Conclusion**: Therefore, in the context of the given equation, \( e \) denotes the base of the natural logarithm.

### Final Answer:
The correct answer is that \( e \) denotes the base of the natural logarithm.

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