A scientist is monitoring the volume of a gas in a controlled chamber.
Exactly 2 minutes after the start of the experiment, the volume of the gas was 3 m33\text{ m}^33 m3.
Exactly 4 minutes after the start of the experiment, the volume of the gas was 4 m34\text{ m}^34 m3.
Given that the volume, V m3V\text{ m}^3V m3, of the gas, ttt minutes after the start of the experiment, can be modelled by the equation
V2=pt2+q V^2 = pt^2 + q V2=pt2+qwhere ppp and qqq are constants,
find, to 3 significant figures where necessary, the value of ppp and the value of qqq.
Exactly TTT minutes after the start of the experiment, the volume of the gas was 10 m310\text{ m}^310 m3.
Find the value of TTT according to the model, giving your answer to one decimal place.
5 exam-style questions on Edexcel A Level Maths 10.4 Applications to Modelling. Each one has a worked solution and a mark scheme showing where the marks go.