Answer :
Alright, let's analyze the phrase "Maren increases the number of servings by six" step-by-step.
1. Identify the Variable:
- Let's denote the initial number of servings by \( n \).
2. Understand the Phrase:
- The phrase says that Maren "increases" the number of servings by six.
3. Translate the Phrase to a Mathematical Expression:
- "Increases" indicates that we are adding to the initial number.
- Therefore, to increase \( n \) by six, we add 6 to \( n \).
4. Set Up the Expression:
- Adding 6 to \( n \) is represented as \( n + 6 \).
Now, let's examine the multiple choice options provided:
A) \( n - 6 \): This expression means the number of servings is being decreased by six, which is not what we want.
B) \( 6 - n \): This expression implies subtracting the number of servings from six, which also doesn't align with "increasing by six".
C) \( n + 6 \): This is exactly what we derived from the phrase, increasing the initial number of servings \( n \) by six.
D) \( 6n \): This expression suggests multiplying the number of servings by six, which isn't accurate according to the phrase given.
Thus, the correct expression that represents "Maren increases the number of servings by six" is \( n + 6 \).
The correct choice is [tex]\( \boxed{3} \)[/tex].
1. Identify the Variable:
- Let's denote the initial number of servings by \( n \).
2. Understand the Phrase:
- The phrase says that Maren "increases" the number of servings by six.
3. Translate the Phrase to a Mathematical Expression:
- "Increases" indicates that we are adding to the initial number.
- Therefore, to increase \( n \) by six, we add 6 to \( n \).
4. Set Up the Expression:
- Adding 6 to \( n \) is represented as \( n + 6 \).
Now, let's examine the multiple choice options provided:
A) \( n - 6 \): This expression means the number of servings is being decreased by six, which is not what we want.
B) \( 6 - n \): This expression implies subtracting the number of servings from six, which also doesn't align with "increasing by six".
C) \( n + 6 \): This is exactly what we derived from the phrase, increasing the initial number of servings \( n \) by six.
D) \( 6n \): This expression suggests multiplying the number of servings by six, which isn't accurate according to the phrase given.
Thus, the correct expression that represents "Maren increases the number of servings by six" is \( n + 6 \).
The correct choice is [tex]\( \boxed{3} \)[/tex].
