Bob plots a population count p of bacteria in a petri dish against time t (hours):
Describe a curve that fits Bob's data.
Solution:
A single smooth S-shaped curve fits the scatter: it lies nearly flat at p≈0 for small t, then rises steeply, and finally levels off approaching a horizontal asymptote just under p≈550.
Modelling (Lesson 9/10)
Logistic Models
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Discussion
Bob plots a population count p of bacteria in a petri dish against time t (hours):
Describe a curve that fits Bob's data.
Solution:
A single smooth S-shaped curve fits the scatter: it lies nearly flat at p≈0 for small t, then rises steeply, and finally levels off approaching a horizontal asymptote just under p≈550.