To solve the given word description, "The quotient of six and the sum of a number and eight," let's break it down step by step:
1. Identify the quotient operation: A quotient refers to the division of one quantity by another. In this case, the division is between six and another expression.
2. Identify the sum part: The sum mentioned is "the sum of a number and eight." Let’s represent the unknown number by the variable [tex]\( x \)[/tex]. The sum of this number and eight is [tex]\( x + 8 \)[/tex].
3. Combine the two parts: The word description asks for the quotient of six divided by the sum of the number and eight. This translates into the expression where six is divided by [tex]\( x + 8 \)[/tex].
Therefore, the algebraic expression that represents the word description is:
[tex]\[
\frac{6}{x+8}
\][/tex]
The correct answer is:
D. [tex]\(\frac{6}{x+8}\)[/tex]
