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Jerald jumped from a bungee tower. If the equation models time in seconds, for which interval of time is he less than 104?

A. [tex]t \ \textgreater \ 6.25[/tex]
B. [tex]-6.25 \ \textless \ t \ \textless \ 6.25[/tex]
C. [tex]t \ \textless \ 6.25[/tex]
D. [tex]0 \leq t \leq 6.25[/tex]

Answer :

We start by recognizing that the time variable, denoted by [tex]$t$[/tex], represents seconds after Jerald jumps from the tower. Since negative time values are not physically meaningful, we must have

[tex]$$
t \geq 0.
$$[/tex]

Next, we consider the interval where the modeled quantity is less than 104. Based on the information, this condition holds true when

[tex]$$
t < 6.25.
$$[/tex]

However, taking into account the physical constraint that [tex]$t$[/tex] cannot be negative, we restrict the range to nonnegative time values. Therefore, the correct interval is

[tex]$$
0 \leq t \leq 6.25.
$$[/tex]

This is the interval during which Jerald's time is less than 104, while also ensuring that [tex]$t$[/tex] is physically valid.

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