To relate the verbal information to an algebraic equation, we need to understand that:
- Noah has already read 105 pages.
- Noah can read 32 pages per day.
- We want to express the total number of pages read after \( x \) days.
The total number of pages read after \( x \) days would be the initial pages read plus what he reads in \( x \) days. Therefore, the function can be expressed as:
\[ y = 32x + 105 \]
where \( y \) is the total number of pages read after \( x \) days.
Thus, the correct option is:
y = 32x + 105.