Jerald jumped from a bungee tower. If the equation that models his height, in feet, is h = –16t2 + 729, where t is the time in seconds, for which interval of time is he within 104 feet above the ground?
As per the given equation \(h = -16t^{2} +729\) interval of time is Jerald within 104 feet above the ground is equals to \(t > 6.25\) seconds.
" Equation is defined as the algebraic expression which represents the relation between variables using the sign of equality."
According to the question,
Given equation,
\(h = -16t^{2} +729\)
h = height in feet
t = time in seconds
As per given condition interval of time we get from above equation,
\(h < 104\)
Therefore,
\(-16t^{2} +729 < 104\\\\\implies -16t^{2} < 104-729\\\\\implies -16t^{2} < -625\\\\\implies t^{2} > \frac{625}{16} \\\\\implies t > 6.25\)
Hence, as per the given equation \(h = -16t^{2} +729\) interval of time is Jerald within 104 feet above the ground is equals to \(t > 6.25\) seconds.
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