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)

• (y=32x\)
• Vy=105x+32\)
© \y=32x-105\)
• Vy=32x+105\)

1 answer

To create an equation that relates the number of pages Noah has read (y) to the number of days he reads (x), we need to consider that he has already read 105 pages and can read 32 additional pages per day.

The correct relationship can be expressed as:

  • He has read 105 pages initially, so that is the starting point (y-intercept).
  • He reads 32 pages for each day (x), so the slope (change in pages read per day) is 32.

Thus, the proper algebraic equation that relates this information is:

y = 32x + 105

This equation indicates that the total pages read (y) after x days will be the 32 pages read per day plus the 105 pages he has already read.

So the correct answer is: • y = 32x + 105