IB skill practice

Interpret rates of change

Use derivatives to interpret instantaneous rates in context.

Paper 1, Paper 2 5 marks Difficulty 4

Interpret rates of change - context restriction

A eco-tour operator distance model is \(s(t)=0.4t^{2}+5t+6\). Find the instantaneous rate of change at \(t=2\). This version asks for the same mathematical quantity after confirming the method from the context. 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.