Question
The function shown below was created to track the different intervals of speed that an automobile travels over a period of 28 seconds.
Use the graph of the function to determine which line segment represents each of the following scenarios.
The automobile is traveling at a constant speed.
The automobile is traveling at an increasing speed.
The automobile is traveling at a decreasing speed.
Use the graph of the function to determine which line segment represents each of the following scenarios.
The automobile is traveling at a constant speed.
The automobile is traveling at an increasing speed.
The automobile is traveling at a decreasing speed.
Answers
GPT-4o mini
To determine which line segments on the graph represent the different scenarios of the automobile's speed, we can analyze the behavior of the graph in terms of its slope:
1. **The automobile is traveling at a constant speed (horizontal line segment)**: This scenario is represented by a line segment that is horizontal (flat) on the graph. A horizontal line indicates that the speed is constant, as the speed does not change over this time interval.
2. **The automobile is traveling at an increasing speed (upward sloping line segment)**: This scenario is represented by a line segment that slopes upwards. An upward slope indicates that the speed is increasing over time because the value of speed is rising as time progresses.
3. **The automobile is traveling at a decreasing speed (downward sloping line segment)**: This scenario is represented by a line segment that slopes downwards. A downward slope indicates that the speed is decreasing over time, as the value of speed is falling as time progresses.
To accurately assign these descriptions to specific segments on the graph, you would need to reference the specific segments and their characteristics based on the graph provided. Each segment's action can be determined by looking at the slope of that portion of the graph.
If you provide specific details or descriptions of the segments in the graph, I could further refine the explanations for each scenario based on those observations.
1. **The automobile is traveling at a constant speed (horizontal line segment)**: This scenario is represented by a line segment that is horizontal (flat) on the graph. A horizontal line indicates that the speed is constant, as the speed does not change over this time interval.
2. **The automobile is traveling at an increasing speed (upward sloping line segment)**: This scenario is represented by a line segment that slopes upwards. An upward slope indicates that the speed is increasing over time because the value of speed is rising as time progresses.
3. **The automobile is traveling at a decreasing speed (downward sloping line segment)**: This scenario is represented by a line segment that slopes downwards. A downward slope indicates that the speed is decreasing over time, as the value of speed is falling as time progresses.
To accurately assign these descriptions to specific segments on the graph, you would need to reference the specific segments and their characteristics based on the graph provided. Each segment's action can be determined by looking at the slope of that portion of the graph.
If you provide specific details or descriptions of the segments in the graph, I could further refine the explanations for each scenario based on those observations.