Representing Functions Quick Check

Question

4 of 54 of 5 Items

Question
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)
Responses

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

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

y=32x
y equals 32 x

y=32x−105

Answer 1

To relate the verbal information to an algebraic equation, we need to identify the elements at play:

• Noah has already read 105 pages.
• He can read about 32 pages per day.
• Let \( x \) represent the number of days he continues to read.

After \( x \) days, the total number of pages he will have read can be expressed as the pages he has already read (105 pages) plus the pages he will read over those \( x \) days (32 pages per day).

Thus, the correct function is:

\[ y = 32x + 105 \]

So the answer is:

y = 32x + 105