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+105
y equals 32 x plus 105

y=32x
y equals 32 x

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

y=32x−105
y equals 32 x minus 105

Answer 1

To relate the information given to an algebraic equation, we need to define our variables. Let's use:

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

Noah has already read 105 pages, and he reads 32 pages per day. Therefore, the total number of pages read after \( x \) days would be the pages he has already read plus the additional pages he reads:

\[ y = 32x + 105 \]

This means that the correct function that relates the verbal information to an algebraic equation is:

y = 32x + 105