Organizers of a music festival charge $60 for admission. The organizers polled the
attendees to determine how increasing the price would affect attendance, and therefore
affect profit. They discover that if they reduce the price by $1, their profit would be
maximized at $600,000. However, if they raised the price by $1, they would make $560,000
in profit. The relationship between the music festival’s profit, , and the difference in the
admission price, , can be modeled by a quadratic equation.
1. Identify the vertex and another point from the context.
a. Vertex: (_____, _____________)
b. Point: (_____, _____________)
2. Find the value of for the quadratic equation modeling the music festival’s
profit.
3. Write the quadratic equation that models the music festival’s profit in vertex
form.
4. Rewrite the equation in standard form.