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
y equals 32 x

y=32x−105
y equals 32 x minus 105

y=32x+105

Answer 1

To relate the verbal information to an algebraic equation, we need to determine what \( y \) and \( x \) represent in this context.

Given:

• Noah has already read 105 pages.
• Noah can read about 32 pages per day.

If we let \( x \) represent the number of days that Noah reads, then the total number of pages \( y \) that Noah has read after \( x \) days can be described with the equation that takes into account both the pages already read and the pages read in \( x \) days.

The total pages read after \( x \) days would be the pages already read (105) plus the pages that will be read in \( x \) days (32 times \( x \)).

Thus, the correct equation is:

\[ y = 32x + 105 \]

So the correct option is:

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