To translate the given phrase "the weight of the trout multiplied by 7" into an algebraic expression, we need to follow these straightforward steps:
1. Identify the variable that represents the weight of the trout, which in this case is given as [tex]\( w \)[/tex].
2. Recognize that the phrase indicates the operation to perform is multiplication (specifically, multiplying by 7).
Combining these two pieces of information, we can create the algebraic expression representing the multiplication of the weight of the trout by 7. This is written as [tex]\( 7w \)[/tex].
Given the options:
A. [tex]\(\frac{4}{7}\)[/tex]
B. [tex]\(w - 7\)[/tex]
C. [tex]\(w + 7\)[/tex]
D. [tex]\(7w\)[/tex]
The correct answer is:
[tex]\[ \boxed{7w} \][/tex]
