Question 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) Responses y=105x+32 y equals 105 x plus 32 y=32x+105 y equals 32 x plus 105 y=32x y equals 32 x y=32x−105 y equals 32 x minus 105

1 answer

To determine the correct function that relates the verbal information to an algebraic equation, we need to analyze the situation.

Noah has read 105 pages so far and reads about 32 pages per day. If we let \( x \) represent the number of days Noah continues to read, then the total number of pages read (which we'll represent as \( y \)) after \( x \) days can be modeled as follows:

  • The pages already read: 105
  • The pages read in \( x \) days: \( 32x \)

Thus, we can express this relationship with the equation:

\[ y = 32x + 105 \]

This means that the correct function that describes the situation is:

y = 32x + 105

So the correct response is:

  • y = 32x + 105