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Answer :
To solve the question of when Jerald is less than 104 feet, we start by examining the intervals given:
1. [tex]\( t > 6.25 \)[/tex]: This interval suggests that Jerald has been in the air for more than 6.25 seconds. Typically, this would be after reaching the maximum height and starting to descend, but it's unlikely to start below 104 feet at such a later time unless the specifics of the height function are known and say otherwise.
2. [tex]\(-6.25 < t < 6.25\)[/tex]: This interval is not logical in this context as time cannot be negative, so we can disregard it.
3. [tex]\( t < 6.25 \)[/tex]: This indicates anytime before 6.25 seconds. However, it's too broad without specifying the lower bound, as Jerald starts from 0 seconds.
4. [tex]\( 0 \leq t \leq 6.25 \)[/tex]: This interval suggests that Jerald is in motion from the starting point at 0 seconds and for up to 6.25 seconds. This interval includes the initial position, and without specific details on the height function or other motion specifics, it is reasonable to assume that this interval represents when Jerald's height could potentially be less than 104 feet.
Thus, the interval [tex]\( 0 \leq t \leq 6.25 \)[/tex] is the most appropriate choice for when Jerald is less than 104 feet.
1. [tex]\( t > 6.25 \)[/tex]: This interval suggests that Jerald has been in the air for more than 6.25 seconds. Typically, this would be after reaching the maximum height and starting to descend, but it's unlikely to start below 104 feet at such a later time unless the specifics of the height function are known and say otherwise.
2. [tex]\(-6.25 < t < 6.25\)[/tex]: This interval is not logical in this context as time cannot be negative, so we can disregard it.
3. [tex]\( t < 6.25 \)[/tex]: This indicates anytime before 6.25 seconds. However, it's too broad without specifying the lower bound, as Jerald starts from 0 seconds.
4. [tex]\( 0 \leq t \leq 6.25 \)[/tex]: This interval suggests that Jerald is in motion from the starting point at 0 seconds and for up to 6.25 seconds. This interval includes the initial position, and without specific details on the height function or other motion specifics, it is reasonable to assume that this interval represents when Jerald's height could potentially be less than 104 feet.
Thus, the interval [tex]\( 0 \leq t \leq 6.25 \)[/tex] is the most appropriate choice for when Jerald is less than 104 feet.
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