To solve the problem, we need to translate the given phrase into an algebraic expression. The phrase is: "the sum of the number of cars and 9."
Here are the detailed steps to find the correct algebraic expression:
1. Identify the variable:
- In this problem, the variable [tex]\( c \)[/tex] represents the number of cars in the parking lot.
2. Understand the phrase:
- The term "the sum of" indicates that we are dealing with addition.
- We need to add two quantities: the number of cars (represented by [tex]\( c \)[/tex]) and the number 9.
3. Translate the phrase into an algebraic expression:
- The phrase "the number of cars" is [tex]\( c \)[/tex].
- Therefore, the phrase "the sum of the number of cars and 9" translates to [tex]\( c + 9 \)[/tex].
4. Match the expression with the given choices:
- Option A: [tex]\( c + 9 \)[/tex]
- Option B: [tex]\( c - 9 \)[/tex]
- Option C: [tex]\( 9c \)[/tex]
- Option D: 4 (this assumes Option D was intended to be 4)
Since the correct algebraic expression for the given phrase is [tex]\( c + 9 \)[/tex], we can see that it corresponds to:
- Option A: [tex]\( c + 9 \)[/tex]
Thus, the correct choice is:
Choice A: [tex]\( c + 9 \)[/tex].
