The expression "so as" is used to indicate purpose and is commonly followed by an infinitive (to + verb).
However, in the given sentence, the correct structure would be:
"Walk quickly so as not to miss the bus."
The phrase "so as" correctly introduces the purpose clause and aligns with formal usage.
Let’s review the other options:
(A) \textit{so that} – Usually followed by a clause with a subject and verb; the structure here is incompatible.
(C) \textit{unless} – Denotes condition, not purpose. Doesn’t fit the meaning of urgency or intent.
(D) \textit{lest} – Archaic or very formal. While sometimes acceptable, it’s less common in modern usage.