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
y equals 32 x

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

y=32x−105
y equals 32 x minus 105

y=32x+105

Answer 1

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

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

Let \( x \) represent the number of days Noah reads. After \( x \) days, he would read \( 32x \) pages. Since he has already read 105 pages, the total number of pages he would have read after \( x \) days would be the pages he has read plus the pages he will read:

\[ \text{Total pages read} = 105 + 32x \]

In terms of a function, if we let \( y \) represent the total number of pages read, we have:

\[ y = 32x + 105 \]

So the correct function from the options provided is:

y = 32x + 105.