The domain of a function refers to all the possible input values (in this case, the time in minutes, represented by \( t \)) for which the function is defined. Since the student worked out continuously for 30 minutes, the domain of \( t \) would typically be the range of time from the start of the workout to the end.
Therefore, the domain of \( t \) is:
\[ 0 \leq t \leq 30 \]
This means \( t \) can take any value starting from 0 minutes (the start of the workout) up to 30 minutes (the end of the workout). Depending on the specific form of your answer choices, you may need to express this in interval notation or as a set:
- In interval notation: \([0, 30]\)
- As a set: { t | 0 ≤ t ≤ 30 }
Please refer to the specific format of the answer choices provided to select the correct representation.
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