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If [tex]\( w \)[/tex] is the weight of a trout, which algebraic expression represents "the weight of the trout multiplied by 7"?

A. [tex]\( w - 7 \)[/tex]
B. [tex]\( w + 7 \)[/tex]
C. [tex]\( \frac{w}{7} \)[/tex]
D. [tex]\( 7w \)[/tex]

Sagot :

GinnyAnswer
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]
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