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)

Question

Responses

y=32x−105
y
=
32
x
−
105
y equals 32 x minus 105

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

y=32x
y
=
32
x
y equals 32 x

y=32x+105

Answer 1

To find the function that relates the verbal information to an algebraic equation, we need to clarify what the variables represent.

Let:

• \( y \) represent the total number of pages read.
• \( x \) represent the number of days Noah reads.

Noah has already read 105 pages, and they can read 32 pages per day. This can be represented with the equation:

\[ y = 32x + 105 \]

This equation states that the total pages read (\( y \)) is equal to the pages they read per day (32 times the number of days \( x \)) plus the pages they have already read (105).

Thus, the correct function that relates the verbal information to an algebraic equation is:

y = 32x + 105