Math Problem Statement
With mapping
Solution
To represent the parking fee as a piecewise function with mapping, we will define the function using a mapping notation, indicating how different ranges of map to different outputs.
Mapping Notation:
\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 \(Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Piecewise Functions
Mapping Notation
Formulas
-
Theorems
-
Suitable Grade Level
High School