Question

Exponential growth in plants can be expressed as

• A. $L_t=L_O+rt$
• B. $L_e=L_{t}rt$
• C. $W_1=W_O{e}^{rt}$
• D. $W_1=W_O+e^{rt}$
• E. None of the above
  

Answer 1

The correct option is C $W_1=W_O{e}^{rt}$

• The exponential growth can be mathematically represented as follows:

$W_1=W_O{e}^{rt}$

• Here, $W_1$ = final size (weight, height, number etc.),

$W_0$ = initial size at the beginning of the period, r = growth rate, t = time of growth and e = base of natural logarithms.

Mathematically, the arithmetic growth rate can be shown as follows:

$L_t$ = $L_0$ + $rt$.

• Here, $L_t$ is the length at time t, $L_0$ is length at time 0 and r is the rate per unit time.

Hence, option C is the answer.