Use the grouping symbols to interpret the following equation: x8=3(x+4)/2 . Which expression in the equation represents a product?(1 point)

Responses

3(x+4)
3 left parenthesis x plus 4 right parenthesis

x/8
Start Fraction x over 8 End Fraction

2
2

3(x+4)/2

1 answer

In the equation \( x8 = \frac{3(x+4)}{2} \), we want to identify which expression represents a product.

Let's examine the given options:

  1. 3(x+4): This represents a product of 3 and the expression \((x + 4)\).

  2. \( \frac{x}{8} \): This is a fraction and does not represent a product.

  3. 2: This is just a number and does not represent a product.

  4. \(\frac{3(x+4)}{2}\): While this expression includes a product (3 and \(x+4\)), it's also divided by 2, so it represents a quotient rather than just a product.

The expression that clearly represents a product in the equation is:

3(x+4)

So the answer is \(3(x+4)\).