Question

Noah has to read a book for a project. They have already read 105 pages, and they can read about 32 pages per day. Which of the following functions correctly relates the verbal information about the function to an algebraic equation?(1 point)
Responses

y=32x−105
y equals 32 x minus 105

y=32x
y equals 32 x

y=32x+105
y equals 32 x plus 105

y=105x+32

Answer 1

To find the correct function that relates the verbal information, let's analyze the situation:

- Noah has already read 105 pages.
- He can read 32 pages per day.

If we let \( x \) represent the number of days Noah reads, then the pages read after \( x \) days would be \( 32x \). Since he has already read 105 pages, the total number of pages read after \( x \) days would be:

\[ \text{Total Pages Read} = \text{Pages Already Read} + \text{Pages Read in } x \text{ Days} = 105 + 32x \]

So, the function that relates the total pages read \( y \) to the number of days \( x \) is:

\[ y = 32x + 105 \]

Thus, the correct response is:

**y = 32x + 105**