Use the grouping symbols to interpret the following equation: Start Fraction x over 8 End Fraction equals Start Fraction 3 left parenthesis x plus 4 right parenthesis over 2 End Fraction. Which expression in the equation represents a product?

Answer 1

To interpret the given equation \( \frac{x}{8} = \frac{3(x + 4)}{2} \) with proper use of grouping symbols, we can break it down into its components:

1. The expression on the left is \( \frac{x}{8} \).
2. The expression on the right can be analyzed: \( \frac{3(x + 4)}{2} \) means that \( 3 \) is multiplied by \( (x + 4) \), and then the whole result is divided by \( 2 \).

In the right side of the equation, the part \( 3(x + 4) \) represents a product because it involves the multiplication of \( 3 \) with the entire quantity given by \( (x + 4) \).

Thus, the expression that represents a product in the equation is \( 3(x + 4) \).