Noah has to read a book for a project. They have already read 105 pages l, 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?

Answer 1

To relate the verbal information about Noah's reading to an algebraic equation, we need to establish a function that accounts for the total number of pages he has read after a certain number of days.

Let's define:

• \( p \) as the total number of pages Noah has read.
• \( d \) as the number of days he reads.

From the information given:

• Noah has already read 105 pages.
• He can read 32 pages per day.

The total number of pages Noah will have read after \( d \) days can be expressed as:

\[ p(d) = 105 + 32d \]

This equation correctly relates the verbal information to an algebraic function, where:

• The constant 105 accounts for the pages already read,
• The term \( 32d \) represents the additional pages he reads each day for \( d \) days.

Therefore, the function \( p(d) = 105 + 32d \) is the correct algebraic equation representing the situation described.