Modeling Quadratic Equations

The profit from selling local ballet tickets depends on the ticket price.  Using past receipts, we find that the profit can be modeled by the function p= -15x² +600x +60 , where x is the price of each ticket.  What is the maximum profit you can make from selling tickets?

• $6060
• $20
• $600
• $10,250

If the graph shows price vs profit, what is the maximum profit? 

• 35
• 12,000
• 12,500
• 60

If the graph shows price vs profit, at which prices would you "break even" (neither lose or gain money)? 

• 10 and 60 
• 20 and 50 
• 30 and 40 
• 35

The graph shows how price affects profit. If the company is currently operating at the point (20, 6000), what should the company do differently to reach the maximum profit (vertex)? 

• Lower Price 
• Raise Price 

The graph shows how price affects profit. If a company is operating at (50, 8000) , what should they do to improve their profits? 

• Lower Price 
• Raise Price 

Which one are we looking for?

Freddie jumped off of a diving board. How far below the water did he go?

• x at vertex

• y at vertex

• positive zero

• y-intercept

Which one are we looking for?

The maximum height of a basketball thrown from half court was 21 feet. How long did it take to get there?

• x at vertex

• y at vertex

• positive zero

• y-intercept

Which one are we looking for?

Isabella wants to know how long her toy rocket will be in the air after she lights the fuse to launch it from a 1.5-foot launch pad.

• x at vertex

• y at vertex

• positive zero

• y-intercept

Which one are we looking for?

Hailee bungee jumped off a platform by first jumping into the air, then falling downward. How high was the platform?

• x at vertex

• y at vertex

• positive zero

• y-intercept

Amelia runs a catering business. Based on her records, her profit is shown by P = 2x² - 44x -150, where x is the number of meals she caters and P is her profit. When P is negative, Amelia loses money. What is the least number of meals Amelia needs to cater in order to begin making profit?

• -1

• 5

• 11

• 25

• 50