Question

Leah left her house at time zero and drove to the store, which is 4 blocks away, at a speed of 1 block per minute. Then she stopped and went into the store for 2 minutes. From there, she drove in the same direction at a speed of 2 blocks per minute until she got to the bank, which is 4 blocks away from the store. She stopped at the bank for 7 minutes. Then she drove home at a speed of 1 block every minute. Make a graph of showing the number of blocks away from home that Leah is xx minutes after she leaves her house, until she gets back home.

Answer 1

To create a graph of Leah's journey, we can break her trip into distinct segments, each with specific time intervals and distances. We'll detail each part and then describe how the graph would look.

### Journey Breakdown

1. **Trip to the Store:**
- **Time:** 0 to 4 minutes
- **Distance:** 4 blocks
- **Speed:** 1 block/minute
- **Position:** From 0 blocks (home) to 4 blocks (store)

2. **Time in the Store:**
- **Time:** 4 to 6 minutes (2 minutes)
- **Position:** Still 4 blocks away from home

3. **Trip to the Bank:**
- **Time:** 6 to 10 minutes
- **Distance:** 4 blocks (store to bank, at 2 blocks/minute)
- **Position:** From 4 blocks (store) to 8 blocks (bank)

4. **Time at the Bank:**
- **Time:** 10 to 17 minutes (7 minutes)
- **Position:** Still 8 blocks away from home

5. **Trip Home:**
- **Time:** 17 to 25 minutes
- **Distance:** 8 blocks (bank to home, at 1 block/minute)
- **Position:** From 8 blocks back to 0 blocks (home)

### Summary of Time and Position

| Time (minutes) | Position (blocks away from home) |
|----------------|----------------------------------|
| 0 | 0 |
| 4 | 4 |
| 6 | 4 |
| 10 | 8 |
| 17 | 8 |
| 25 | 0 |

### Graph Description

- **X-axis:** Time in minutes (0 to 25 minutes)
- **Y-axis:** Blocks away from home (0 to 8 blocks)

1. **Segment from (0, 0) to (4, 4):**
- A straight line rising from (0, 0) to (4, 4) representing the trip to the store.

2. **Segment from (4, 4) to (6, 4):**
- A horizontal line from (4, 4) to (6, 4) indicating Leah's 2-minute stop at the store.

3. **Segment from (6, 4) to (10, 8):**
- A straight line rising from (6, 4) to (10, 8) showing the trip to the bank.

4. **Segment from (10, 8) to (17, 8):**
- A horizontal line from (10, 8) to (17, 8) for Leah's 7-minute stop at the bank.

5. **Segment from (17, 8) to (25, 0):**
- A straight line sloping down from (17, 8) to (25, 0), representing her return trip home.

### Final Note
You can graph this data using graphing software or by hand on graph paper, making sure to appropriately label the axes and the key points of Leah's journey.