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_________. AB, BC, DC, DE

Answers

GPT-4o mini
To interpret the different scenarios based on the line segments AB, BC, DC, and DE, let's analyze each case based on typical characteristics of a speed graph:

1. **The automobile is traveling at a constant speed**: This would be represented by a horizontal line segment, indicating that speed does not change over time. Among the segments, look for one that is flat (horizontal) to identify constant speed.

2. **The automobile is traveling at an increasing speed**: This is depicted by a line segment with an upward slope, indicating that speed is increasing over time. Look for a segment that moves upwards as it progresses.

3. **The automobile is traveling at a decreasing speed**: This is represented by a line segment with a downward slope, indicating that speed is decreasing over time. Look for a segment that slopes downward as it progresses.

Based on these descriptions:

- If **AB** (horizontal) is flat: This represents constant speed.
- If **BC** (upward slope) is inclined: This represents increasing speed.
- If **DC** (downward slope) is declining: This represents decreasing speed.

Hence, the line segments representing the given scenarios are:

- The automobile is traveling at a constant speed: **AB**
- The automobile is traveling at an increasing speed: **BC**
- The automobile is traveling at a decreasing speed: **DC**

Make sure to confirm the actual characteristics of the segments through the provided graph for accurate analysis!