Question 7 • Advanced Algebra: Concepts and Connections
Tim throws a stick straight up in the air from the ground. The function h is equal to negative 16 t squared plus 48 t models the height, h , in feet, of the stick above the ground after t seconds. Which inequality can be used to find the interval of time in which the stick reaches a height of more than 8 feet?
Answer
A
negative 16 t squared plus 48 t is less than or equal to 8
B
negative 16 t squared plus 48 t is greater than 8
C
negative 16 t squared plus 48 t is less than 8
D
negative 16 t squared plus 48 t is greater than or equal to 8
Explanation
The expression −16t² + 48t gives the stick’s height after t seconds. “More than 8 feet” means its height must be greater than 8, so the inequality is −16t² + 48t > 8. This is choice D, “negative 16 t squared plus 48 t is greater than 8.”
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