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)2where P P\,P is the profit measured in thousands of pounds and x x\,x is the price of each ticket in pounds.
Explain why £25 is not a sensible price for a ticket.
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.
State, according to the model, (i) the maximum possible profit, (ii) the ticket price that maximises the profit.
Quadratics Questions
Practise Edexcel AS Level Maths Quadratics with exam-style questions for AS 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 AS Level Maths (8MA0) specification and written in Paper 1 and Paper 2 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.