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 3

Estimate logistic half-capacity time - exam scenario

A coastal council logistic model is \(P(t)=100/(1+6e^{-0.29t})\). Find the time when \(P(t)=50\). Enter the requested value and choose the interpretation that matches the result.

Worked practice: result and interpretation

Calculate the requested result first, then choose the interpretation that follows from it.