Alexandra left her house at time zero and drove to the store, which is 9 blocks away, at a speed of 3 blocks per minute. Then she stopped and went into the store for 5 minutes. From there, she drove in the same direction at a speed of 5 blocks per minute until she got to the bank, which is 15 blocks away from the store. She stopped at the bank for 6 minutes. Then she drove home at a speed of 6 blocks every minute. Make a graph of showing the number of blocks away from home that Alexandra is x*x*minutes after she leaves her house, until she gets back home.

Here is the graph showing Alexandra's distance from home over time. The graph represents her journey to the store, time spent at the store, driving to the bank, time spent at the bank, and driving back home. The x-axis shows time in minutes, and the y-axis shows her distance from home in blocks.

Would you like further details or explanations? 

Here are five related questions for deeper understanding:
1. How would the graph change if she drove to the store at a faster speed?
2. What would happen if she spent more time at the bank?
3. How would the graph look if she took a different route with more stops?
4. How can we model this scenario using different mathematical functions?
5. What is the total time spent on the entire trip?

**Tip:** When interpreting graphs, focus on the slopes to understand speed and flat sections to identify when movement stops.

Alexandra left her house at time zero and drove to the store, which is 9 blocks away, at a speed of 3 blocks per minute. Then she stopped and went into the store for 5 minutes. From there, she drove in the same direction at a speed of 5 blocks per minute until she got to the bank, which is 15 blocks away from the store. She stopped at the bank for 6 minutes. Then she drove home at a speed of 6 blocks every minute. Make a graph of showing the number of blocks away from home that Alexandra is x minutes after she leaves her house, until she gets back home.

This problem models Alexandra's journey using a distance-time graph, showing her travel speeds, stops, and return home. Learn how to interpret linear equations and piecewise functions as you calculate total distances and durations. Suitable for students in Grades 9-11.

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