Q24 / 200 · MHT CET - Medical 2026 (24 April Shift 1) · Biology

Geometric growth can be expressed mathematically by the equation $W_1=W_0e^{rt}$. '$W_1$' stands for ________.

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

Solution

The mathematical expression for geometric (exponential) growth is given by $W_1 = W_0 e^{rt}$.

In this equation:
$W_1$ represents the final size (weight, height, number, etc.) after time $t$.
$W_0$ represents the initial size at the beginning of the period.
$r$ represents the growth rate (relative growth rate).
$t$ represents the time of growth.
$e$ represents the base of natural logarithms.

Therefore, $W_1$ stands for the final size.

Answer: final size

Hence, the correct answer is option: 'B'.

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