Let's consider the problem step-by-step:
1. Identify the given information:
- The original price of the phone is denoted by [tex]\( p \)[/tex] dollars.
- This original price is reduced by [tex]$200.
2. Understand the question:
- We need to determine the algebraic expression for the reduced price of the phone in terms of \( p \).
3. Construct the expression:
- When the original price \( p \) is reduced by $[/tex]200, we subtract [tex]$200 from the original price \( p \).
- Therefore, the algebraic expression for the reduced price is \( p - 200 \).
4. Examine the options:
- A. \( 200 + p \): This represents the sum of $[/tex]200 and the original price, which is not correct because we need to reduce, not add.
- B. [tex]\( 200 - p \)[/tex]: This represents subtracting the original price from [tex]$200, which isn’t correct because it implies a different reduction scenario.
- C. \( 200p \): This represents $[/tex]200 times the original price, which is unrelated to subtraction.
- D. [tex]\( p - 200 \)[/tex]: This correctly represents the original price minus $200.
5. Conclusion:
The algebraic expression that represents the reduced price is [tex]\( p - 200 \)[/tex].
So, the correct answer is:
D. [tex]\( p - 200 \)[/tex]
