To represent the parking fee as a piecewise function with mapping, we will define the function \( p(t) \) using a mapping notation, indicating how different ranges of \( t \) map to different outputs.

### Mapping Notation:

\[
p: t \mapsto
\begin{cases}
25 & \text{if } 0 \leq t \leq 2 \\
25 + 5(t - 2) & \text{if } 2 < t \leq 12 \\
100 & \text{if } t > 12
\end{cases}
\]

### Explanation of the Mapping:
- **\( t \in [0, 2] \)**: The parking time \( t \) maps to a constant fee of \( P25 \).
- **\( t \in (2, 12] \)**: The parking time \( t \) maps to a fee calculated as \(

Learn how to represent parking fees using a piecewise function with mapping notation. This problem involves defining a function based on different time intervals, each mapped to specific fee calculations. Suitable for high school students studying piecewise functions and mapping notation in mathematics.

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