The above question wants to analyze your writing and arguing ability. In that case, I won't write your letter, but I will show you how to write it.
First, you should know that this letter has a professional nature and for that reason, it should be written in a formal language, without slang or colloquial expressions. In addition, the letter must be direct and objective, composing a short and straight-to-the-point text.
More information on how to write a letter at the link:
https://brainly.com/question/24623157