Question

A publisher wants to know the thickness of a new book.

The book has a front cover and a back cover, each with
a thickness of į of an inch.
The paper has a thickness of inch per 100 pages.
Write an equation that represents the total width of the
book, y, for every 100 pages of paper, X.

Answer 1

To calculate the thickness of a new book for every 100 pages, you add the thickness of both covers, which is 1 inch total, to ⅛ inch multiplied by the number of 100-page sets in the book. The equation is y = 1 + (⅛ × X).

Step-by-step explanation:

To determine the thickness of a new book for every 100 pages of paper, we need to account for the thickness of both the front cover and the back cover, as well as the thickness of the paper itself. We were told that the front cover and the back cover each have a thickness of ½ an inch. The paper has a thickness of ⅛ inch per 100 pages. If X represents every 100 pages of paper and y represents the total width of the book, the equation accounting for the covers and pages together would be:

y = ½ + ½ + (⅛ × X)

This simplifies to:

y = 1 + (⅛ × X)

Thus, for every 100 pages X, we add ⅛ of an inch to the fixed 1 inch of the covers to find the total thickness y of the book.