To determine which algebraic expression represents the given phrase "two times the quantity of a number minus 12", let's break it down step-by-step:
1. Understanding the phrase:
- The phrase "the quantity of a number minus 12" indicates that we need to take a number (let's call it [tex]\( y \)[/tex]) and then subtract 12 from that number.
- Algebraically, this can be written as [tex]\( y - 12 \)[/tex].
2. Multiplying by two:
- Now, we need to take the result from the first step, [tex]\( y - 12 \)[/tex], and multiply it by 2.
- This can be written as [tex]\( 2(y - 12) \)[/tex].
So, the algebraic expression that represents the phrase "two times the quantity of a number minus 12" is:
[tex]\[ 2(y - 12) \][/tex]
Given the answer choices:
- [tex]$2 y-12$[/tex]
- [tex]$2(y-12)$[/tex]
- [tex]$2(y+12)$[/tex]
- [tex]$2 y+12$[/tex]
The correct expression is [tex]\( 2(y - 12) \)[/tex]. Therefore, the correct answer is:
[tex]\[ \boxed{2(y-12)} \][/tex]
