IB skill practice

Model logistic differential equations

Use \(dP/dt=kP(1-P/L)\) to calculate a population growth rate.

Paper 1, Paper 2 5 marks Difficulty 5

Model logistic differential equations - diagnostic reading

A finance desk population satisfies \(\frac{dP}{dt}=kP(1-P/L)\), with \(k=0.2\), \(P=88\), and \(L=120\). Find the growth rate. Confirm the method before entering the value. Enter the requested value and choose the interpretation that matches the result.

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