Question
The graph of the relationship between the time a train travels and the
distance it travels at a constant speed would be a
graph.
distance it travels at a constant speed would be a
graph.
Ask by O'Quinn John. in Ecuador
Mar 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The graph would be a straight line.
Solution
The relationship between the time a train travels and the distance it travels at a constant speed can be described by the equation:
where:
-
is the distance, -
is the constant speed, -
is the time.
Since the speed is constant, the graph of this relationship would be a straight line.
Explanation:
-
Linear Relationship: The equation
indicates that distance is directly proportional to time when speed is constant. This means that as time increases, distance also increases linearly. -
Graph Characteristics:
- The x-axis would represent time (
). - The y-axis would represent distance (
). - The slope of the line would be equal to the constant speed (
). - The line would pass through the origin (0,0) since if no time has passed, no distance has been traveled.
- The x-axis would represent time (
Thus, the graph would be a straight line.
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Simplify this solution Mind Expander
The graph of a train traveling at a constant speed as a function of time would be a straight line. This linear relationship shows that for every unit of time that passes, the distance increases by a constant interval, indicating the train maintains a steady speed throughout its journey.
In practical scenarios, understanding this graph can help in planning schedules for arrivals and departures, ensuring timely transportation. For example, if you know the distance between two cities is 120 miles and the train travels at 60 miles per hour, you can easily determine it will take 2 hours to complete the trip, making it straightforward to manage connections and commuter expectations.
