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Question 4 of 16

If [tex][tex]$c$[/tex][/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]$c + 15$[/tex]
B. [tex]$c - 15$[/tex]
C. [tex][tex]$c \cdot 15$[/tex][/tex]
D. [tex]$\frac{c}{15}$[/tex]

Sagot :

GinnyAnsweridn
To solve the question, let's carefully analyze the phrase provided: "The sum of the number of cats and 15 dogs."

Here are the steps:

1. Identify the variable for the number of cats, which is given as [tex]\( c \)[/tex].
2. Understand that the phrase "the sum of" indicates that we should add two quantities.
3. Recognize that the two quantities to be added are:
- The number of cats, represented by [tex]\( c \)[/tex].
- The number of dogs, which is specified as 15.

Therefore, the expression representing the sum of these two quantities is given by:
[tex]\[ c + 15 \][/tex]

Let's now evaluate the provided options:
- A. [tex]\( c + 15 \)[/tex]: This correctly represents the sum of the number of cats ([tex]\( c \)[/tex]) and 15 dogs.
- B. [tex]\( c - 15 \)[/tex]: This represents subtraction, not the sum.
- C. [tex]\( c \cdot 15 \)[/tex]: This represents multiplication.
- D. [tex]\( \frac{c}{15} \)[/tex]: This represents division.

The correct variable expression representing the phrase is:
[tex]\[ \boxed{c + 15} \][/tex]
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