Use the grouping symbols to interpret the following equation x /8 equals 3 ( x + 4) over to which expression in the equation represents a product

Answer 1

Let's interpret the equation \( \frac{x}{8} = 3 \cdot \frac{x + 4}{2} \).

To identify which expression represents a product, we can break down the equation:

1. The left side, \( \frac{x}{8} \), is a fraction and does not represent a product.
2. The right side has two parts: \( 3 \) and \( \frac{x + 4}{2} \).
   • The \( 3 \) and \( \frac{x + 4}{2} \) are multiplied together (indicated by the multiplication dot or by placing them next to each other without any operation sign).

Therefore, the expression \( 3 \cdot \frac{x + 4}{2} \) includes the product \( 3 \) and \( \frac{x + 4}{2} \) together, which forms the complete multiplication.

Conclusively, the part of the equation that represents a product is: \[ 3 \cdot \frac{x + 4}{2} \]