pretzel199
Answered

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Select the choice that translates the following verbal phrase correctly to an algebraic expression:

"The difference of [tex]\( c \)[/tex] and 10."

A. [tex]\( 10c \)[/tex]

B. [tex]\( c - 10 \)[/tex]

C. [tex]\( 10 \div c \)[/tex]

D. [tex]\( c + 10 \)[/tex]

Sagot :

GinnyAnswer
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].
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