Could I borrow your book . . . . . . . . a week next month? A. after B. around C. for D. during

The correct answer is C. for.

The word “for” is used to indicate a period of time. In this case, the speaker is asking to borrow the book for a week. The other options are not as accurate. The word “after” indicates a time after something else has happened. The word “around” indicates a general time period. The word “during” indicates a time that is included in a larger time period.

Here are some examples of how the word “for” is used:

• I will be gone for a week.
• I need
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  to borrow your book for a few days.
• The meeting will last for two hours.
• I have been working on this project for months.