To find an algebraic expression that represents the reduced price of the mountain bike, we need to follow these steps:
1. Understand the Problem:
- The original price of the mountain bike is denoted by [tex]\( p \)[/tex] dollars.
- The price was reduced by [tex]$125.
2. Translate into Mathematical Terms:
- If the original price is \( p \) and we reduce this price by $[/tex]125, we are essentially subtracting [tex]$125 from the original price \( p \).
3. Construct the Algebraic Expression:
- Subtraction of $[/tex]125 from the original price [tex]\( p \)[/tex] can be written as:
[tex]\[
p - 125
\][/tex]
Here, [tex]\( p - 125 \)[/tex] correctly represents the reduced price of the mountain bike after a reduction of $125 from the original price.
Therefore, the correct algebraic expression representing the reduced price is:
[tex]\[
\boxed{p - 125}
\][/tex]
This corresponds to option C.
[tex]\[
\text{C. } p - 125
\][/tex]
