Use the grouping symbols to interpret the following equation: x/8=[3(x+4)]/2 Which expression in the equation represents a product?

Question

(1 point)
x =
8
3(x+4)
2
3 (x + 4)
2
x
8
3(x+4)
2

Answer 1

To interpret the given equation \( \frac{x}{8} = \frac{3(x+4)}{2} \) and identify which expression represents a product, we look at how the various terms are structured.

First, let's analyze the right side of the equation:

\[ \frac{3(x+4)}{2} \]

This can be interpreted as \( 3 \) multiplied by the expression \( (x + 4) \) and then divided by \( 2 \).

Hence, the expression \( 3(x + 4) \) is a product since it represents \( 3 \times (x + 4) \).

Now, if we check the options provided:

1. \( \frac{3(x+4)}{2} \) - This includes a division and is not purely a product.
2. \( 3(x + 4) \) - This is just the product \( 3 \times (x + 4) \).
3. \( x \cdot \frac{8}{3} \) - Not listed in the original equation.
4. \( \frac{x}{8} \) - This includes a division and is not purely a product.

Out of the options listed, the correct choice that explicitly represents a product is:

\( 3(x+4) \).