Alexandra starts at home, travels farther away, stops twice, and eventually returns home. The graph reflects this by starting at 0, increasing, staying constant, increasing again, staying constant again, and finally decreasing to 0.
The graph shows Alexandra's distance from home (in blocks) as a function of time (in minutes) after she left her house.
Segments:
1. 0-3 minutes: Alexandra is driving away from home at a rate of 3 blocks per minute. The line is straight with a positive slope, starting at 0 blocks and reaching 9 blocks at 3 minutes.
2. 3-8 minutes: Alexandra is stopped at the store for 5 minutes. The line becomes horizontal at 9 blocks for this period.
3. 8-11 minutes: Alexandra drives away from the store at a rate of 5 blocks per minute. The line is straight with a positive slope, starting at 9 blocks and reaching 15 blocks at 11 minutes.
4. 11-17 minutes: Alexandra is stopped at the bank for 6 minutes. The line becomes horizontal at 15 blocks for this period.
5.17-22 minutes: Alexandra drives home at a rate of 6 blocks per minute. The line is straight with a negative slope, starting at 15 blocks and reaching 0 blocks at 22 minutes.
Key Points:
At 3 minutes, Alexandra arrives at the store.
At 8 minutes, Alexandra leaves the store.
At 11 minutes, Alexandra arrives at the bank.
At 17 minutes, Alexandra leaves the bank.
At 22 minutes, Alexandra arrives home.
Additional Notes:
The slope of each line segment represents Alexandra's speed at that time.
The horizontal lines represent the time intervals where Alexandra is stopped.
The graph allows us to easily visualize and understand Alexandra's journey.