Answer :
When Albert opens his mathematics textbook, he sees that the product of the page numbers on the two facing pages is 156. We need to determine the correct equation that represents this situation, and then we can find the page numbers.
Let's break it down step-by-step:
1. Identify the pages: When you open a book, the pages facing each other are consecutive numbers, like page 2 and page 3, or page 10 and page 11, and so on.
2. Define the variables: Let's say the first page number Albert sees is represented by [tex]\(x\)[/tex]. Since the pages are consecutive, the next page number would be [tex]\(x + 1\)[/tex].
3. Set up the equation: According to the problem, the product of these consecutive page numbers is 156. Therefore, we can write the equation for their product as:
[tex]\[
x(x + 1) = 156
\][/tex]
This equation matches option D in the given choices. Therefore, the correct equation that can be used to find the page numbers Albert is looking at is [tex]\(x(x+1)=156\)[/tex].
Let's break it down step-by-step:
1. Identify the pages: When you open a book, the pages facing each other are consecutive numbers, like page 2 and page 3, or page 10 and page 11, and so on.
2. Define the variables: Let's say the first page number Albert sees is represented by [tex]\(x\)[/tex]. Since the pages are consecutive, the next page number would be [tex]\(x + 1\)[/tex].
3. Set up the equation: According to the problem, the product of these consecutive page numbers is 156. Therefore, we can write the equation for their product as:
[tex]\[
x(x + 1) = 156
\][/tex]
This equation matches option D in the given choices. Therefore, the correct equation that can be used to find the page numbers Albert is looking at is [tex]\(x(x+1)=156\)[/tex].
