Question 10 • Advanced Algebra: Concepts and Connections
An object is dropped from a small plane. As the object falls, its distance, d , above the ground after t seconds, is given by the formula d is equal to negative 16 t squared plus 1 comma 000 Which inequality can be used to find the interval of time taken by the object to reach the height greater than 300 feet above the ground?
Answer
A
negative 16 t squared plus 1 comma 000 is less than 300
B
negative 16 t squared plus 1 comma 000 is less than or equal to 300
C
negative 16 t squared plus 1 comma 000 is greater than or equal to 300
D
negative 16 t squared plus 1 comma 000 is greater than 300
Explanation
The object’s height after t seconds is −16t² + 1,000. To find when it is greater than 300 feet above the ground, set this height greater than 300: −16t² + 1,000 > 300. This is choice B, “negative 16 t squared plus 1,000 is greater than 300.”
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