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?

Question

A. y = 32x + 105
B. y = 105x + 32
C. y = 32x
D. y = 32x – 105

Answer 1

To determine the correct function that relates the verbal information to an algebraic equation, let's define the variables:

• Let \( y \) be the total number of pages read after \( x \) days.
• Noah has already read 105 pages.
• He reads 32 pages each day.

The relationship can be described as:

1. Start with the 105 pages he has already read.
2. Each day, he reads an additional 32 pages. If he reads for \( x \) days, the additional pages read will be \( 32x \).

Therefore, the total number of pages read after \( x \) days can be expressed in the equation:

\[ y = 32x + 105 \]

This matches option A:

A. \( y = 32x + 105 \)

So, the correct answer is A.