A football stadium has 25 000 seats. The football club know from past experience that they will
sell only 10000 tickets if each ticket costs £30. They also expect to sell 1000 more tickets every
time the price goes down by £1.
a The number of tickets sold t can be modelled by the linear equation = M-1000p,
where £p is the price of each ticket and M is a constant. Find the value of M.
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3THSEC
(1 mark)
Quadratics
The total revenue, £r, can be calculated by multiplying the number of tickets sold by the price of
each ticket. This can be written as r=p(M-1000p).
b Rearranger into the form A - B(p-C), where A, B and C are constants to be found. (3 marks)