Final answer:
The term 'tolerate' is more appropriate for academic writing, while 'put up with' is colloquial and less formal.
Step-by-step explanation:
Between the options presented, tolerate is more appropriate for academic writing. The phrase put up with is a colloquial expression and is generally considered less formal and therefore less suitable for academic contexts. When writing academically, it's important to use language that is clear, precise, and formal.
The subject of whether colloquial phrases are used in academic language deals with the register, which is the level of formality in language use. In academic writing, a formal register is typically maintained to ensure clarity and professional tone.