Which is a verbal expression that would represent the algebraic expression [tex]17 + 3(11 - n)[/tex]?

A. Seventeen more than the product of three and the difference of eleven and a number.

B. Seventeen and the product of three and the difference of a number and eleven.

C. Seventeen and the product of three and the quantity 'a number minus eleven.'

D. Seventeen more than the product of three and the quantity 'eleven less than a number.'

To express the algebraic expression [tex]$ 17 + 3(11 - n) $[/tex] in words, we need to break down the parts of the expression and understand what each part represents:

1. The Expression [tex]$ 3(11 - n) $[/tex]:
- In this part, we see the operation of multiplication. The number [tex]$3$[/tex] is being multiplied by the expression within the parentheses [tex]$ (11 - n) $[/tex].
- The expression [tex]$ (11 - n) $[/tex] represents "the difference of eleven and a number."
- Thus, [tex]$ 3(11 - n) $[/tex] can be described as "the product of three and the difference of eleven and a number."

2. Adding 17:
- Next, we have the number [tex]$17$[/tex] added to the entire product [tex]$3(11 - n)$[/tex].
- The phrase "seventeen more than" indicates that we start with seventeen and then add the previous result to it.

3. Combining the Parts:
- When we put it all together with the concept of "more than", we express the entire expression [tex]$ 17 + 3(11 - n) $[/tex] as: "Seventeen more than the product of three and the difference of eleven and a number."

Therefore, the verbal expression that represents the algebraic expression [tex]$ 17 + 3(11 - n) $[/tex] is:

"Seventeen more than the product of three and the quantity 'eleven less than a number'."