Question

Geometric growth can be expressed mathematically by the equation \(W_{1}=W_{0}e^{rt}\). '\(W_{1}\)' stands for ________.

• A. initial size
• B. final size
• C. time of growth
• D. growth rate

Hint:

In the equation W1 = W0 e^(rt), W1 is the size reached after time t.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept
In exponential (geometric) growth, \(W_1=W_0e^{rt}\).

Step 2: Meaning of terms
\(W_0\) is the initial size at the start, \(r\) is the relative growth rate, \(t\) is the time of growth and \(e\) is the base of natural logarithms.

Step 3: Conclusion
\(W_1\) is the size reached after time \(t\), that is, the final size.

Final Answer:
\(W_1\) stands for the final size. \[ \boxed{\text{(B) }\text{final size}} \]