Question

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 xx minutes after she leaves her house, until she gets back home.

Answer 1

Alexandra's graph starts at 0 blocks, reaches 39 blocks after store and bank stops, then ends at 129 blocks after driving home. Time is on the x-axis.

To create a graph representing Alexandra's distance from home over time, we can break down her journey into distinct segments.

1. Initial Drive to the Store (0 to 3 minutes):

- Alexandra travels at 3 blocks per minute for 3 minutes.

- Distance covered:
`\(3 * 3 = 9\) blocks.`

2. Stop at the Store (3 to 8 minutes):

- Alexandra stays at the store for 5 minutes.

- Distance remains constant at 9 blocks during this time.

3. Drive to the Bank (8 to 14 minutes):

- Alexandra travels at 5 blocks per minute for 6 minutes.

- Distance covered:
`\(5 * 6 = 30\) blocks.`

- Total distance from home: 9 + 30 = 39 blocks.

4. Stop at the Bank (14 to 20 minutes):

- Alexandra stays at the bank for 6 minutes.

- Distance remains constant at 39 blocks during this time.

5. Drive Home (20 to 35 minutes):

- Alexandra travels at 6 blocks per minute for 15 minutes.

- Distance covered:
`\(6 * 15 = 90\) blocks.`

- Total distance from home: 39 + 90 = 129 blocks.

Using this information, you can create a graph where the x-axis represents time in minutes and the y-axis represents the distance from home in blocks. The graph will show the changing positions during each segment of Alexandra's journey.