In arithmetic growth, following mitotic cell division, only one daughter cell continues to divide while the other differentiates and matures. The simplest expression of arithmetic growth is exemplified by a root elongating at a constant rate. Look at On plotting the length of the organ against time, a linear curve is obtained. Mathematically, it is expressed as
Observe the four graphs (a–d) given below. Which one correctly represents growth following mitotic cell division exemplified by a root elongating at a constant rate ?
Correct answer: A — Graph (a)
Arithmetic growth shows a linear increase with time → constant rate of elongation. Graph (a) is correct (straight line). Graph (b) and (d) show sigmoid (S-shaped) curves → typical of geometric growth. Graph (c) shows a logarithmic-like saturation curve, not arithmetic growth.
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