Quadratic Equations with Word Problems

If you square 5 more than a positive number, the result is 88 more than 12 times the number. Find the number.

• 7

• -7

• 9

• -9

The height of an item falling can be modeled by h_t = -16t² + h_o . Where h_o is the initial height in feet, and h_t is the height in feet at time t in seconds. If I drop a penny at a height of 18.6 feet, how long will it take the item to hit the ground?

• 1.08 seconds

• 2.08 seconds

• 0.08 seconds

• 1.17 seconds

The number of bags of peanuts sold at the Kennedy Center from 1900 to 2004 can be modeled by S = 4t² + t - 3, where t is the number of years since 1900. How many bags of peanuts were sold in 2000?

• 40,050

• 40,097

• 19,997

• 98

The height of an item falling can be modeled by h_t = -16t² + h_o . Where h_o is the initial height in feet, and h_t is the height in feet at time t in seconds. If I drop a cup at a height of 18.9 feet, how long will it take the item to hit the ground?

• 2.09 seconds

• 1.09 seconds

• 1.19 seconds

• 0.09 seconds

The number of foam fingers sold at the Kennedy Center from 1900 to 2004 can be modeled by S = 2t² + 2t - 1, where t is the number of years since 1900. How many foam fingers were sold in 1976?

• 11,628

• 11,703

• 151

• 5,775

The height of an item falling can be modeled by h_t = -16t2 + h_o . Where h_o is the initial height in feet, and h_t is the height in feet at time t in seconds. If I drop a bowling ball at a height of 13.1 feet, how long will it take the item to hit the ground?

• 0.48 seconds

• 1.69 seconds

• 0.69 seconds

• 0.31 seconds

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 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 dolphin jumps from the water at at initial velocity of 16 feet per second. The equation h = -8t² + 16t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps?

• 1 foot

• 5 feet

• 7 feet

• 8 feet

• 12 feet