Final answer:
The correct answer is C) To remain awake into the night, as the phrase 'to stay up late' means not going to sleep until later in the night. English vocabulary often has nuanced differences that help clarify meanings, such as 'lay' (to put down) versus 'lie' (to be in a horizontal position).
Step-by-step explanation:
The phrase to stay up late refers to the action of remaining awake into the night, which is often much later than one's usual bedtime. Applying this definition to the multiple-choice question presented, the correct answer is C) To remain awake into the night. The word 'stay' in this context does not imply going to sleep early or rising early, but rather, not going to sleep until a later hour.
Understanding the difference between various phrases related to sleep is important. For example, the verb lay means 'to put or set something down', as in 'Please lay the books on the table'. In contrast, lie can mean 'to be in or move into a horizontal position', as in 'I need to lie down and rest my eyes'. It is also worth noting that lay is the past tense of lie, as demonstrated by the sentence 'I fell asleep as soon as I lay down to rest my eyes'.
Understanding these distinctions in English vocabulary helps clarify the meanings of phrases and their correct usage, as seen in the schoolwork examples provided.