One airline ticket sells for $250. For each additional airline ticket sold to a group, the price of every ticket is reduced by $2. For example, p(1) = price per ticket when 1 ticket is sold = $250 p(2) = price per ticket when 2 tickets are sold = $250 - 1 · ($2) = $248 p(3) = price per ticket when 3 tickets are sold = $250 – 2 · ($2) = $246 So, 2 tickets are sold for 2 · 248 = $496 and 3 tickets are sold for 3 · 246 = $738.
a) write a quadratic function that gives the total cost of buying x tickets.
b) what's 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 cost?