# 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?

##### 1 Answer

Aug 8, 2016

#### Explanation:

Attendance (A) given by:

Ticket price (T) given by:

Total earnings (E) given by:

We want

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.