For the past several years, the high school theater department has performed a musical in their auditorium. each year since the first, they have raised ticket prices by $0.25, however the department has also noticed a decline in the number of people attending each year. this year, they are analyzing the ticket prices, attendance, and sales to determine the ticket price that maximizes their sales.
the table shows their ticket sales with respect to the number of times they have increased the price of a ticket.
ticket price increases 1 2 3 4 5 6
ticket sales $4,306.25 $4,375.00 $4,406.25 $4,400.00 $4,356.25 $4,275.00