The weekday parking rates for a garage are $3 per hour and $8 maximum for 12 hours. Write and graph a piecewise function for the weekday parking charges at that garage

Here is the graph of the weekday parking charges:

- The blue line shows the charge per hour up to 2 hours, after which the charge is capped at $8.
- The red dashed line at $ h = 2 $ hours marks the point where the maximum charge starts.
- The green dashed line at $ y = 8 $ indicates the maximum charge of $8.

Would you like further details or have any questions?

Here are 5 related questions:
1. How would the function change if the maximum charge was $10 instead of $8?
2. What would the function look like if the hourly rate was $2 instead of $3?
3. How can this piecewise function be used to determine the total revenue for a day?
4. What is the impact on the function if parking is free for the first hour?
5. How would the function change if the maximum charge starts after 3 hours instead of 2?

**Tip:** Understanding piecewise functions can help you model real-world situations where different rules apply to different intervals.

Explore how to graph weekday parking charges using a piecewise function. Understand the concept of piecewise functions and apply it to real-world scenarios. Learn about maximum charge limits and hourly rates.

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