The price of one airline ticket is $250. For each additional ticket sold to a group, the

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The price of one airline ticket is $250. For each additional ticket sold to a group, the price of every ticket is reduced by $2. For example, 2 tickets cost 2 · 248= $496 and 3 tickets cost 3 · 246 = $738.

(a) Write a quadratic function that gives the total cost of buying x tickets. 

(b) What is the cost of 5 tickets? 

(c) How many tickets were sold if the cost is $5200? 

(d) What number of tickets sold gives the greatest total cost?

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