https://file.aiquickdraw.com/mathbot/file/1726250282519lke2srs9.jpg

The graph above shows the cost of parking for both garages over time:

- **Garage A** (blue line) starts with a higher initial fee but has a lower hourly rate.
- **Garage B** (green line) starts with a lower initial fee but has a higher hourly rate.

At $ t = 10 $ hours:
- The cost for **Garage A** is $30.
- The cost for **Garage B** is $34.

Thus, **Garage A is cheaper** when Austin parks for 10 hours.

Would you like further clarification or details?

### Related Questions:
1. What happens if Austin parks for less than 5 hours?
2. At what time are the costs for both garages equal?
3. How does the cost difference change as parking time increases beyond 10 hours?
4. What is the most cost-effective garage if Austin only parks for 1 hour?
5. How would the graph change if Garage B reduced its hourly rate to $2.50?

**Tip:** Comparing rates and initial fees helps you determine the best option depending on parking duration.

Austin is deciding between two parking garages. Garage A charges an initial fee of $10 to park plus $2 per hour. Garage B charges an initial fee of $4 to park plus $3 per hour. Let A represent the amount Garage A would charge if Austin parks for t hours, and let B represent the amount Garage B would charge if Austin parks for t hours. Graph each function and determine which garage would be cheaper if Austin needs to park for 10 hours.

Learn how to compare the costs of parking in two garages using linear equations. This problem explores Garage A with an initial fee of $10 and $2 per hour, and Garage B with an initial fee of $4 and $3 per hour. Determine the cheaper option for a 10-hour parking duration.

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