4.3 Quadratic Word Problems

A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. What is the height of the cliff?

• 1.094 ft

• 174.141 ft

• 155 ft

• 4.393 ft

• None of the above

A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. When does the rock hit the ground?

• 1.094 seconds

• 174.141 seconds

• 155 seconds

• 4.393 seconds

• None of the above

A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. What is the maximum height the rock reaches ?

• 1.094 ft

• 174.141 ft

• 155 ft

• 4.393 ft

• None of the above

A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. How long does it take the rock to reach its maximum height?

• 1.094 seconds

• 174.141 seconds

• 155 seconds

• 4.393 seconds

• None of the above

If each mark on the x-axis represents one second, when did the object reach the ground?

• 2.5 seconds

• 6 seconds

• 5.5 seconds

• 5 seconds

A diver is standing on a platform above the pool. He jumps from the platform with an initial upward velocity of 8 ft/s. Use the formula h (t) = −16 t² + 8t + 24, where h is his height,in feet, above the water, t is the time, in seconds . How high is the platform?

• .25 ft

• 24 ft

• 25 ft

• 8 ft

• None of the above

A diver is standing on a platform above the pool. He jumps from the platform with an initial upward velocity of 8 ft/s. Use the formula h (t) = −16 t² + 8t + 24, where h is his height,in feet, above the water, t is the time, in seconds . How high is the platform?

• .25 ft

• 24 ft

• 25 ft

• 8 ft

• None of the above

A diver is standing on a platform above the pool. He jumps from the platform with an initial upward velocity of 8 ft/s. Use the formula h (t) = −16 t² + 8t + 24, where h is his height,in feet, above the water, t is the time, in seconds . How high is the platform?

• .25 ft

• 24 ft

• 25 ft

• 8 ft

• None of the above

The function h(t) = -16t²+60t + 130 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?

• 4.2 seconds

• 4.9 seconds

• 5.3 seconds

• 5.8 seconds

• 6.1 seconds

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?

• $20

• $6060

• $7,120

• $9,250

• $10,050