Let's break down the phrase "the sum of the number of dogs and the 6 cats" step by step to identify the correct variable expression.
1. Identify the variables:
- The number of dogs is represented by [tex]\( d \)[/tex].
- The number of cats is explicitly given as 6.
2. Understand the operation:
- The phrase "the sum of" indicates that we need to add the two quantities.
3. Formulate the expression:
- To find the sum of the number of dogs ([tex]\( d \)[/tex]) and the number of cats (6), we simply add [tex]\( d \)[/tex] and 6.
Thus, the correct variable expression to represent "the sum of the number of dogs and the 6 cats" is [tex]\( d + 6 \)[/tex].
4. Check the options:
- A. [tex]\( d - 6 \)[/tex] represents subtracting 6 from the number of dogs.
- B. [tex]\( d \div 6 \)[/tex] represents dividing the number of dogs by 6.
- C. [tex]\( d + 6 \)[/tex] correctly represents adding the number of dogs and 6 cats.
- D. [tex]\( d \cdot 6 \)[/tex] represents multiplying the number of dogs by 6.
Thus, the correct option is:
[tex]\[ C. \ d + 6 \][/tex]
This expression accurately represents the phrase given in the question.
