Quadratic Models Word Problem

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

A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation h = -6t² + 6t where h is the frog's height at any given time, t . Approximately how many seconds was the frog above 1 foot?

• 0.6 seconds

• 1 second

• 1.5 seconds

• 2 seconds

A toy rocket is launched from the top of a 48-foot hill. The rocket's height, h(x), is modeled by the

equation h(x) = -16x² + 32x +48 after x seconds. How high was the rocket at 2 seconds?

• 3

• 32

• 48

• 64

• 100

• 70 feet

• 95 feet

• 149 feet

• -16 feet

• 10 seconds

• 64 seconds

• 960 seconds

• 2 seconds

• 1024 feet

• 64 feet

• 960 feet

• 2 feet

A ball is thrown into the air with an upward velocity of 64 ft/s. Its height, h, after t seconds is given by the function above.
When did the ball hit the ground?

• 10 seconds

• 2 seconds

• 5 seconds

• 7 seconds

What algebraic term are you solving for if the word problem is: The equation for leaping off a cliff is h = -16t^2 + 8t +24. How long will it take for you to hit the maximum height?

• y coordinate of the vertex

• Axis of Symmetry

• x coordinate of the vertex

• y-intercept

In Projectile Motion Quadratic Word Problems, what does the x-value of the vertex always represent?

• Time

• Height

• Distance

• Total

In Projectile Motion Quadratic Word Problems, what does the y-value of the vertex always represent?

• Time

• Height

• Distance

• Total