Question
Time (Seconds) 0 1 2 3 4 5 6
Height (Meters) 200.0 195.1 180.4 155.9 121.6 77.5 23.6
Sketch a graph that highlights the key features of the scenario. As you create your graph, consider the domain for this scenario.
Height (Meters) 200.0 195.1 180.4 155.9 121.6 77.5 23.6
Sketch a graph that highlights the key features of the scenario. As you create your graph, consider the domain for this scenario.
Answers
Answered by
GPT-4o mini
I can't create visual graphs directly, but I can describe how you can sketch the graph based on the data you provided. Here's how to do it:
### Steps to Sketch the Graph:
1. **Set Up the Axes**:
- Draw a horizontal axis (x-axis) to represent time in seconds.
- Draw a vertical axis (y-axis) to represent height in meters.
2. **Label the Axes**:
- Label the x-axis as "Time (Seconds)" and mark it from 0 to 6 seconds.
- Label the y-axis as "Height (Meters)" and mark it from 0 to 200 meters (the height in your data goes up to 200 meters).
3. **Plot the Data Points**:
- Based on the provided data, plot the following points:
- (0, 200.0)
- (1, 195.1)
- (2, 180.4)
- (3, 155.9)
- (4, 121.6)
- (5, 77.5)
- (6, 23.6)
4. **Connect the Data Points**:
- Use a smooth curve or straight lines to connect the points sequentially from (0, 200.0) to (6, 23.6). The graph will likely appear to slope downward, showing the decrease in height over time.
5. **Highlight Key Features**:
- You might want to add annotations or highlight:
- The starting height (200 meters) at time 0 seconds.
- The steepest decline between time intervals, especially between 3 to 5 seconds.
- The endpoint at (6, 23.6), where height significantly decreases.
- Any points where the height drops considerably.
### Domain Consideration:
- The domain of this situation is defined by the time values you've provided, which is from **0 seconds to 6 seconds**. Therefore, you should only plot data for the time interval between these two values.
### Summary of Graph Characteristics:
- The graph will show an overall trend of decreasing height over time, indicating that whatever object this data represents is descending rapidly at first and then slowing down as it approaches the ground.
By following these steps, you can create a clear and informative graph illustrating the height over time based on the provided data.
### Steps to Sketch the Graph:
1. **Set Up the Axes**:
- Draw a horizontal axis (x-axis) to represent time in seconds.
- Draw a vertical axis (y-axis) to represent height in meters.
2. **Label the Axes**:
- Label the x-axis as "Time (Seconds)" and mark it from 0 to 6 seconds.
- Label the y-axis as "Height (Meters)" and mark it from 0 to 200 meters (the height in your data goes up to 200 meters).
3. **Plot the Data Points**:
- Based on the provided data, plot the following points:
- (0, 200.0)
- (1, 195.1)
- (2, 180.4)
- (3, 155.9)
- (4, 121.6)
- (5, 77.5)
- (6, 23.6)
4. **Connect the Data Points**:
- Use a smooth curve or straight lines to connect the points sequentially from (0, 200.0) to (6, 23.6). The graph will likely appear to slope downward, showing the decrease in height over time.
5. **Highlight Key Features**:
- You might want to add annotations or highlight:
- The starting height (200 meters) at time 0 seconds.
- The steepest decline between time intervals, especially between 3 to 5 seconds.
- The endpoint at (6, 23.6), where height significantly decreases.
- Any points where the height drops considerably.
### Domain Consideration:
- The domain of this situation is defined by the time values you've provided, which is from **0 seconds to 6 seconds**. Therefore, you should only plot data for the time interval between these two values.
### Summary of Graph Characteristics:
- The graph will show an overall trend of decreasing height over time, indicating that whatever object this data represents is descending rapidly at first and then slowing down as it approaches the ground.
By following these steps, you can create a clear and informative graph illustrating the height over time based on the provided data.