Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

If [tex]$w$[/tex] is the weight of a trout, which algebraic expression represents the phrase "twice the weight of the trout"?

A. [tex]w + 2[/tex]

B. [tex]w - 2[/tex]

C. [tex]\frac{w}{2}[/tex]

D. [tex]2w[/tex]

Sagot :

Certainly! Let's understand what the phrase "twice the weight of the trout" means, and translate it step-by-step into an algebraic expression.

1. Let \( w \) be the weight of the trout. This is our variable.
2. The phrase "twice the weight" of something means multiplying that weight by 2.

Now let's look at the options provided and see which one correctly represents "twice the weight of the trout":

- Option A: \( w + 2 \). This represents the weight of the trout plus 2, not twice the weight.
- Option B: \( w - 2 \). This represents the weight of the trout minus 2, not twice the weight.
- Option C: \( \frac{w}{2} \). This represents half the weight of the trout, not twice the weight.
- Option D: \( 2w \). This correctly represents twice the weight of the trout, since multiplying by 2 gives us "twice."

Thus, the correct algebraic expression representing "twice the weight of the trout" is:

[tex]\[ 2w \][/tex]

So, the correct answer is:
[tex]\[ \boxed{D} \][/tex]
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.