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+qV^2 = pt^2 + qV2=pt2+q
where 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.
Practise Edexcel A Level Maths 10.4 Applications to Modelling with exam-style questions for A Level Maths. 5 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.