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
=
32
𝑥
+
105
y equals 32 x plus 105

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

y=32x−105
𝑦
=
32
𝑥
−
105
y equals 32 x minus 105

y=32x

Answer 1

To relate the verbal information to an algebraic equation, let's analyze the situation.

Noah has already read 105 pages of the book and can read approximately 32 pages each day. We want to express the total number of pages Noah has read as a function of the number of days, \( x \).

The total number of pages read after \( x \) days would be the combination of the pages already read (105) and the pages read in \( x \) days (32 pages/day). So, the total number of pages \( y \) can be expressed as:

\[ y = 32x + 105 \]

Thus, the correct function that relates the verbal information to an algebraic equation is:

y = 32x + 105.