Let's break down the phrase "the weight of the trout multiplied by 7."
1. Identify the variable:
- The weight of the trout is given by the variable [tex]\( w \)[/tex].
2. Understand the operation:
- The phrase tells us to multiply the weight of the trout by 7.
3. Formulate the algebraic expression:
- Multiplying a variable [tex]\( w \)[/tex] by 7 is represented as [tex]\( 7w \)[/tex].
Now, let's evaluate the given options:
A. [tex]\( w - 7 \)[/tex]: This represents the weight of the trout minus 7, which is not correct according to the phrase.
B. [tex]\( w + 7 \)[/tex]: This represents the weight of the trout plus 7, which does not match the phrase either.
C. [tex]\( \frac{w}{7} \)[/tex]: This represents the weight of the trout divided by 7, which is incorrect for the given phrase.
D. [tex]\( 7w \)[/tex]: This is the correct representation of the weight of the trout multiplied by 7.
Therefore, the correct answer is:
D. [tex]\( 7w \)[/tex]
