Let's work through the verbal phrase "the difference of c and 10" step by step to translate it correctly into an algebraic expression.
1. Understanding the Phrase: The key part of the phrase is "the difference of c and 10." In mathematical terms, "the difference" typically refers to subtraction.
2. Identify the Components: We have two components here: `c` and `10`.
3. Determine the Operation: Since we're asked for the difference, we need to subtract one value from the other.
4. Construct the Expression: The expression "the difference of c and 10" translates directly to [tex]\( c - 10 \)[/tex].
Thus, the correct algebraic expression that matches the verbal phrase "the difference of c and 10" is:
[tex]\[ c - 10 \][/tex]
Given the options:
- [tex]$10 c$[/tex]
- [tex]$c-10$[/tex]
- [tex]$10 \div c$[/tex]
- [tex]$c+10$[/tex]
The option that matches our translation is:
[tex]\[ c - 10 \][/tex]
So, the correct choice is [tex]\( c - 10 \)[/tex].
