Quadratic Inequalities & Real World Applications

What is the initial (starting) height of an object following this path?  h(t) = -16t² +20t + 6

• -16 feet 
• 0 feet
• 20 feet 
• 6 feet 

Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h(t) = –16t² + 16t + 480, where t is the time in seconds and h is the height in feet. How long does it take Jason to hit the water?

• -16 seconds

• -6 seconds

• 0 seconds

• 6 seconds

The graph below shows the height, in feet, over time, in seconds, of a student's rocket. Use the graph to answer the questions below. What was the maximum height the rocket reached?

• 25 feet

• 45 feet

• 65 feet

• 85 feet

• 3 seconds

• 46 seconds

• 5 seconds

• 10 seconds

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Is the point (2, 1) a solution to the inequality shown?

• Yes

• No

• Yes

• No

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