To interpret the equation \( \frac{x}{8} = \frac{3(x+4)}{2} \) and identify which expression represents a product, let's look at the options provided:
- \( \frac{x}{8} \): This is a fraction, not a product.
- \( \frac{3(x+4)}{2} \): This is also a fraction. However, within this expression, \( 3(x+4) \) does represent a product because it is 3 multiplied by the expression \( (x+4) \).
- 2: This is just a number and does not represent a product.
- \( 3(x+4) \): This is indeed a product as it involves the multiplication of 3 with the expression \( (x+4) \).
Based on this analysis, the expression that represents a product is:
\( 3(x+4) \).