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=105x+32
y equals 105 x plus 32

y=32x−105
y equals 32 x minus 105

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

y=32x

Answer 1

To relate the verbal information to an algebraic equation, we need to consider what the variables represent and how they are related:

- Let \( y \) represent the total number of pages read.
- Let \( x \) represent the number of days Noah has been reading.

Noah has already read 105 pages, and he reads 32 pages per day. After \( x \) days, the total number of pages read would be the pages he already read plus the pages he reads in those \( x \) days.

The correct relationship can be expressed as:

\[ y = 32x + 105 \]

This means that after reading for \( x \) days, the total pages read (y) equals the pages initially read (105) plus the additional pages read (32x).

Therefore, the correct function is:

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