Final Answer:
The graph would have a steeper slope, and the equation would involve a doubled coefficient for the distance variable.
Step-by-step explanation:
When a train travels twice as far in the same amount of time, it indicates an increase in speed. In a distance-time graph, the slope represents the speed. Therefore, the graph would have a steeper slope, reflecting the higher speed. Mathematically, the equation relating distance (d) and time (t) is expressed as d = st, where s is the speed. If the train travels twice as far, the coefficient of time (t) in the equation would double, resulting in a new equation like d = 2st.
This alteration indicates that the speed has doubled, influencing both the graph and the equation. Consequently, the updated graph visually portrays a more rapid rate of distance covered per unit of time. Understanding these adjustments is essential for accurately representing and analyzing the train's motion over time.