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=105x+32

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

Answer 1

To relate the verbal information to an algebraic function, we need to understand that Noah has already read 105 pages and can read an additional 32 pages per day.

Let's define:

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

Since Noah has already read 105 pages and can read 32 pages per day, the total pages read after \( x \) days can be expressed as:

\[ y = 32x + 105 \]

This means for every day Noah reads (represented by \( x \)), he will read an additional 32 pages, starting from the 105 pages he has already completed.

Thus, the correct function is:

y = 32x + 105 (which is the option: y=32x+105).