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Question 23
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A football club selling tickets for a football match. The profit made by the football club is modelled by the equation

P=35−1.25(x−15)2 P = 35 - 1.25(x - 15)^2 P=35−1.25(x−15)2

where P P\,P is the profit measured in thousands of pounds and x x\,x is the price of each ticket in pounds.

a.

Explain why £25 is not a sensible price for a ticket.

[3]
b.

Given that the football club made a profit of more than £20 000, find, according to the model, the least possible price of a ticket.

[4]
c.

State, according to the model, (i) the maximum possible profit, (ii) the ticket price that maximises the profit.

[3]

Quadratics Questions

  1. A Level
  2. /Maths
  3. /Quadratics

Practise Edexcel A Level Maths Quadratics with exam-style questions for A Level Maths. 25 questions covering 2.1 Solving Quadratics, 2.2 Completing the Square, 2.3 Sketching Quadratic Graphs, 2.4 The Discriminant, and 2.5 Modelling with Quadratics, 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.

Question bank