To interpret the equation \( \frac{x}{8} = \frac{3(x+4)}{2} \) and identify the expression that represents a product, let's look at each option:
A. \( 2 \) - This is a number, not a product.
B. \( 3(2 + 4) \) - This is a product since it involves multiplying \( 3 \) by the sum \( (2 + 4) \).
C. \( 3(x+4) \) - This is also a product, as it involves multiplying \( 3 \) by the expression \( (x + 4) \).
D. \( \frac{x}{8} \) - This is a fraction, not a product.
Based on the interpretations:
- Both options B and C represent products. However, in the context of your question, if you're looking for a single best answer, C. \( 3(x + 4) \) is the most straightforward answer representing a product since it directly involves multiplication of \( 3 \) by another expression (the sum \( x + 4 \)).
If the question allows for only one answer, then C is the best choice. If multiple answers are acceptable, both C and B can be considered products.
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