Use the grouping symbols to interpret the following equation: x/8=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

3(x+4)2
Start Fraction 3 left parenthesis x plus 4 right parenthesis over 2 End Fraction

2
2

x8
Start Fraction x over 8 End Fraction

1 answer

In the equation you provided, \( \frac{x}{8} = \frac{3(x+4)}{2} \), we need to interpret the expressions with the grouping symbols and identify which one represents a product.

The correct expression that represents a product is:

3(x+4)

This expression indicates that 3 is multiplied by the quantity (x + 4).

The other expressions do not represent products in the same way:

  • \( \frac{3(x+4)}{2} \) includes a division and does not solely represent a product.
  • 2 is a number, not a product.
  • \( \frac{x}{8} \) also involves division and does not represent a product.

So the answer is 3(x+4).