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?

Answer 1

To model Noah's reading situation with an algebraic equation, we start by identifying the key variables and information provided:

• Let \( p \) represent the total number of pages in the book.
• Noah has already read 105 pages.
• He can read 32 pages per day.

We want to express the total pages read over a certain number of days. If we let \( d \) represent the number of days Noah continues to read, the total number of pages Noah will have read after \( d \) days can be expressed as:

\[ \text{Total pages read} = 105 + 32d \]

This equation shows that Noah starts with the 105 pages he has already read, and he adds 32 pages for each day he reads.

If the objective is to find out how many pages are left to read in relation to the total number of pages \( p \), we could set up an equation to express this as well:

\[ p = 105 + 32d \]

Here, \( p \) represents the total pages of the book Noah needs to read, and the equation relates his progress over time.

Therefore, the correct function that relates the verbal information to an algebraic equation could be:

\[ p = 105 + 32d \]

This function links the total pages in the book \( p \) to the pages already read and the daily reading rate over a period of days \( d \).