Question 1 · Easy
A root elongates at a constant rate, with only one daughter cell of each division continuing to divide. Which equation describes this growth?
- ALₜ = L₀ × rt
- BLₜ = L₀ + rt
- CW₁ = W₀e^(rt)
- DLₜ = L₀ − rt
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Answer: B · Lₜ = L₀ + rt
When only one daughter cell keeps dividing, length rises at a constant rate. This is arithmetic growth, and it gives a straight line on a graph of length against time.
- A: Multiplying gives zero length at time zero, which is not arithmetic growth.
- C: This exponential form describes geometric growth, with both daughter cells dividing.
- D: A minus sign would mean the root shortens with time.
Remember this
Arithmetic growth gives a straight line with Lₜ = L₀ + rt; geometric growth gives a sigmoid curve with W₁ = W₀e^(rt).