College

When Kylie flips open her math book, she notices that the product of the page numbers of the two facing pages she sees is 156. Which equation could be used to find the page numbers that Kylie is looking at?

A. [tex]x + (x+1) = 156[/tex]
B. [tex](x+1) + (x+2) = 156[/tex]
C. [tex](x+1)(x+3) = 156[/tex]
D. [tex]x(x+1) = 156[/tex]

Answer :

Sure! Let's find out which equation can be used to identify the page numbers Kylie sees when she flips her math book open.

When Kylie flips open her book, she sees two consecutive pages. We can represent the page on the left with [tex]\( x \)[/tex]. This means the page on the right would be [tex]\( x + 1 \)[/tex] because book pages are numbered consecutively.

We're given that the product of these two page numbers is 156. So, we can set up the following equation:

1. The page on the left: [tex]\( x \)[/tex]
2. The page on the right: [tex]\( x + 1 \)[/tex]

The product of these page numbers is:
[tex]\[ x \times (x + 1) = 156 \][/tex]

Therefore, the equation that represents this situation is:
[tex]\[ x(x+1)=156 \][/tex]

Option (4) is the correct choice for the equation that could be used to find the page number Kylie is looking at.

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