Question

use the grouping symbols to interpret the following equation: x/8 = 3(x+4)/2. which expression in the equation represents a product?
A:2
B:3(x + 4)
C:x/8
D:3(x+4)/2

Answer 1

To interpret the given equation \( \frac{x}{8} = \frac{3(x + 4)}{2} \), we need to identify which expression represents a product.

Let's break down the options:

- **A: 2** - This is just a number and does not represent a product.
- **B: 3(x + 4)** - This expression represents a product of 3 and the quantity \( (x + 4) \).
- **C: \( \frac{x}{8} \)** - This expression is a division and does not represent a product.
- **D: \( \frac{3(x + 4)}{2} \)** - This is a fraction and does not represent a product on its own, although it contains \( 3(x + 4) \).

From this analysis, the expression that represents a product is:

**B: 3(x + 4)**.