Topic: Fill in the Blank,

Best Answer Explained in Below-:

The sentence "I will stay with you ___ there is a room free." requires a phrase that indicates a condition regarding the availability of a room. The correct option, "C) as long as," effectively communicates this conditional relationship.

Using "as long as" implies that the duration of staying with someone is dependent on the availability of a room. It conveys the meaning that the speaker will remain with the listener until the situation changes—that is, until a room is free. This phrase establishes a conditional time frame, suggesting that the speaker's stay is contingent on the room's availability.

The other options do not fit the context. "A) as much as" and "B) as many as" typically refer to quantity rather than a condition or duration. "D) as important as" is irrelevant in this context as it brings in a qualitative comparison instead of addressing the temporal aspect.

In summary, "as long as" is the only option that correctly establishes a conditional relationship between the speaker’s stay and the availability of a room.