Sure, let's analyze the expression and its components step-by-step:
The expression you have is [tex]\( 2x - 3 \)[/tex].
1. Identify the variable:
The variable [tex]\( x \)[/tex] represents the number of songs that Sabrina has downloaded.
2. Interpret the expression:
- Twice the number of songs Sabrina has downloaded: The term [tex]\( 2x \)[/tex]. Here, "twice" means multiplying Sabrina's number of songs by 2.
- Three fewer than twice the number of songs Sabrina has downloaded: The entire expression [tex]\( 2x - 3 \)[/tex]. This indicates that you take the result of [tex]\( 2x \)[/tex] (twice Sabrina's songs), and then subtract 3 from it.
Putting all of this together:
The expression [tex]\( 2x - 3 \)[/tex] represents the number of songs Nicolas has downloaded. The variable [tex]\( x \)[/tex] represents the number of songs Sabrina has downloaded.
