Answered

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If [tex]\( c \)[/tex] is the number of cats, which variable expression represents the phrase below?

The sum of the number of cats and 15 dogs

A. [tex]\(\frac{c}{15}\)[/tex]

B. [tex]\(c - 15\)[/tex]

C. [tex]\(c \cdot 15\)[/tex]

D. [tex]\(c + 15\)[/tex]

Sagot :

GinnyAnswer
To represent the given phrase "The sum of the number of cats and 15 dogs" as a variable expression, we need to understand the key components of the phrase.

1. The phrase mentions "the number of cats," which is represented by the variable [tex]\( c \)[/tex].
2. It also mentions "15 dogs," where the number of dogs is [tex]\( 15 \)[/tex].
3. The word "sum" indicates addition.

Therefore, we need to form an expression that sums the number of cats, represented by [tex]\( c \)[/tex], with the number 15 (representing the 15 dogs).

Step-by-step construction of the expression:
- Identify the variable representing the number of cats: [tex]\( c \)[/tex]
- Identify the number of dogs: 15
- Use the addition operation to represent the sum.

The variable expression for the sum of the number of cats and 15 dogs is:
[tex]\[ c + 15 \][/tex]

Thus, the correct choice is:
D. [tex]\( c + 15 \)[/tex]
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