To solve the problem of determining the correct algebraic expression for the given phrase, let's break down the phrase step by step:
1. Identify the variable:
- The phrase starts with "the number of plates on the table." We are told to let [tex]\( p \)[/tex] represent this number. So, [tex]\( p \)[/tex] stands for the number of plates on the table.
2. Determine the operation:
- The phrase continues with "minus the 4 saved for dessert." The word "minus" indicates that we need to subtract.
3. Combine these two pieces:
- We are subtracting 4 plates from the total number of plates represented by [tex]\( p \)[/tex]. Therefore, the mathematical operation we need to perform is [tex]\( p - 4 \)[/tex].
Now, let's verify which of the given options matches [tex]\( p - 4 \)[/tex]:
A. [tex]\( p \cdot 4 \)[/tex]: This represents [tex]\( p \)[/tex] multiplied by 4, which does not match our requirement.
B. [tex]\( p \div 4 \)[/tex]: This represents [tex]\( p \)[/tex] divided by 4, which does not match our requirement.
C. [tex]\( p - 4 \)[/tex]: This directly represents our requirement of the total number of plates minus the 4 saved for dessert.
D. [tex]\( p + 4 \)[/tex]: This represents [tex]\( p \)[/tex] plus 4, which does not match our requirement.
Therefore, the correct answer is:
C. [tex]\( p - 4 \)[/tex]
