Tickets sold to a school dance cost $4 and the projected attendance is 300. for every $0.10 increase in price the attendance will decrease by 5. what ticket price will generate $1237.5?
Attendance (A) given by:
Ticket price (T) given by:
Total earnings (E) given by:
Yielding a quadratic:
Multiply by 2 to get tidier numbers. This is not really necessary, just out of preference.
Could easily factorise by eye but will use quadratic formula for completeness.