Answer
See below.
Work Step by Step
After $n$ months he has paid: $200+25n$. This exists only until he has reached $600$, which is when $n=16$. So for $0\leq n\leq16$, the rule is $200+25n$; for $n\geq 17$, it is $600$.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.