To determine the correct function that relates the given verbal information about Noah's reading, let's break down the details:
- Noah has already read 105 pages.
- He reads about 32 pages per day.
If we let \( y \) represent the total number of pages read after \( x \) days, we can formulate the situation as follows:
- The total pages read \( y \) equals the pages already read (105) plus the pages read each day (32 pages multiplied by \( x \), the number of days).
This gives us the equation:
\[ y = 32x + 105 \]
However, this specific option does not appear among the choices provided. We need to check the given options against the correct formulation:
A: \( y = 32x - 105 \)
B: \( y = 32x - 105 \)
C: \( y = 32x \)
D: \( y = 105x + 32 \)
None of these options accurately reflect the relationship. However, if we look at options A and B closely, they both express an equation starting from 32x, which does not fit the context.
The correct algebraic expression that reflects Noah's reading situation based on the information provided would logically be:
None of the given options are correct.
The accurate representation should have been:
\[ y = 32x + 105 \]
So if you are only selecting from the choices given, none is suitable. However, if a choice must be made, consider addressing this discrepancy for further clarification.