IB skill practice

Estimate logistic half-capacity time

Solve a logistic model for the time when the response reaches half its carrying capacity.

Paper 1, Paper 2 5 marks Difficulty 4

Estimate logistic half-capacity time - exam scenario

Confirm the modelling meaning first. A regional bank logistic model is \(P(t)=100/(1+5e^{-0.27t})\). Find the time when \(P(t)=50\). Enter the requested value and choose the interpretation that matches the result.

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