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

x8
Start Fraction x over 8 End Fraction

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

2
2

3(x+4)

1 answer

To interpret the equation \( \frac{x}{8} = \frac{3(x+4)}{2} \) and identify which expression represents a product, let's look at the options provided:

  1. \( \frac{x}{8} \): This is a fraction, not a product.
  2. \( \frac{3(x+4)}{2} \): This is also a fraction. However, within this expression, \( 3(x+4) \) does represent a product because it is 3 multiplied by the expression \( (x+4) \).
  3. 2: This is just a number and does not represent a product.
  4. \( 3(x+4) \): This is indeed a product as it involves the multiplication of 3 with the expression \( (x+4) \).

Based on this analysis, the expression that represents a product is:

\( 3(x+4) \).