Question 3 • Advanced Algebra: Concepts and Connections
Jerald jumped from a bungee tower. If the equation that models his height, in feet, is h is equal to negative 16 t squared plus 729 , where t is the time in seconds, for which interval of time is he less than 104 feet above the ground?
Answer
A
t is greater than 6 point 2 5
B
0 is less than or equal to t comma t is less than or equal to 6 point 2 5
C
negative 6 point 2 5 is less than t comma t is less than 6 point 2 5
D
t is less than 6 point 2 5
Explanation
Set the height below 104: −16t² + 729 < 104. Subtracting 729 and dividing by −16 reverses the inequality, giving t² > 39.0625, so |t| > 6.25. Since time cannot be negative, Jerald is less than 104 feet above the ground when t > 6.25 seconds, which is choice C.
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