Q22 / 200 · MHT CET - Medical 2026 (24 April Shift 2) · Biology
What is true about Arithmetic and Geometric growth curves?
- ABoth are exponential.
- BBoth are linear.
- Correct answerCArithmetic growth curve is linear while Geometric growth curve is exponential.
- DArithmetic growth curve is exponential while Geometric growth curve is linear.
Solution
In arithmetic growth, following mitotic cell division, only one daughter cell continues to divide while the other differentiates and matures. This results in a constant growth rate, and plotting growth against time yields a linear curve. The mathematical expression is $L_t = L_0 + rt$.
In geometric growth, both progeny cells retain the ability to divide and continue to do so. The growth is initially slow (lag phase) and then increases rapidly at an exponential rate (log or exponential phase). Plotting this growth against time yields a sigmoid curve, representing exponential growth. The mathematical expression is $W_1 = W_0 e^{rt}$.
Therefore, the arithmetic growth curve is linear while the geometric growth curve is exponential.
Answer: Arithmetic growth curve is linear while Geometric growth curve is exponential.
In geometric growth, both progeny cells retain the ability to divide and continue to do so. The growth is initially slow (lag phase) and then increases rapidly at an exponential rate (log or exponential phase). Plotting this growth against time yields a sigmoid curve, representing exponential growth. The mathematical expression is $W_1 = W_0 e^{rt}$.
Therefore, the arithmetic growth curve is linear while the geometric growth curve is exponential.
Answer: Arithmetic growth curve is linear while Geometric growth curve is exponential.
Hence, the correct answer is option: 'C'.