The owner of a baseball stadium found that he sells an average of 586 tickets to each game when he charges an average of $59 per ticket. In addition, he found that with every $6 increase in ticket price, the average number of tickets sold decreases by an average of 4.
Which of the following functions describes the baseball stadium's profit in terms of x, the number of $6 increases over $59?
A.
P(x) = $34,574 + $3,280x - $24x2
B.
P(x) = $34,574 + $3,516x
C.
P(x) = $59 + $3,280x
D.
P(x) = $59 - $3,752x - $24x2