The owner of a minor league baseball team has found that when he charges an average of $5 per seat, the average attendance is 580 fans per game. He noticed that the more he charges per ticket, the lower the attendance is per game. Suppose each additional dollar he charges per seat causes 32 less people to come to the game. Which equation shows the profit, P, if he charges an average of $5 + x per seat?
A.
P (x) = 32x2 + 420x + 800
B.
P (x) = 32x2 - 420x - 2,900
C.
P (x) = - 32x2 + 84x + 580
D.
P (x) = - 32x2 + 420x + 2,900
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