The graph starts with a linear increase at a slope of 3, plateaus during stops, increases at a slope of 5, and decreases at a slope of 6.
Let's create a graph to represent Alexandra's distance from home over time.
We'll use the x-axis to represent time in minutes and the y-axis to represent the number of blocks away from home.
We'll break down Alexandra's journey into different segments:
Driving to the Store (0 to 3 minutes):
Alexandra is driving at a speed of 3 blocks per minute. Therefore, after each minute, she is 3 blocks farther from home.
This segment will be a straight line with a slope of 3.
Stopped at the Store (3 to 8 minutes):
Alexandra stops at the store for 5 minutes.
During this time, her distance from home remains constant at 9 blocks.
Driving to the Bank (8 to 14 minutes):
Alexandra now drives at a speed of 5 blocks per minute.
The graph will show a straight line with a slope of 5, indicating an increase of 5 blocks per minute.
Stopped at the Bank (14 to 20 minutes):
Alexandra stops at the bank for 6 minutes.
During this time, her distance from home remains constant at 24 blocks.
Driving Home (20 to 35 minutes):
Finally, Alexandra drives home at a speed of 6 blocks per minute.
The graph will show a straight line with a slope of 6, indicating she is getting closer to home.
By connecting these segments on the graph, you'll have a visual representation of Alexandra's journey, showing her distance from home at different points in time.