Question

Which of the following could be a scenario for this graph which shows km/hour (speed)?(1 point)ResponsesJoan did not rest the whole trip until she was able to just cruise down the hill at the end of her journey.Joan did not rest the whole trip until she was able to just cruise down the hill at the end of her journey.Joan went further away from home for about 8 hours, rested, and then headed back home.Joan went further away from home for about 8 hours, rested, and then headed back home.Joan increased her speed from 0 to 5 hours, then rested until 14 hours had passed.Joan increased her speed from 0 to 5 hours, then rested until 14 hours had passed.Joan climbed a small hill and then a much bigger hill.Joan climbed a small hill and then a much bigger hill.Joan is going at a constant speed away from home for 5 hours, then stops, picks up speed, then stops, then heads back home

Answer 1

To determine which scenario could correspond to a graph that shows speed in km/hour, we need to consider how the speed might fluctuate throughout the journey described in each option.

1. Joan did not rest the whole trip until she was able to just cruise down the hill at the end of her journey.

   • This scenario suggests an increase in speed until she reaches a downhill section where she maintains a high speed. This would likely show an increase and then possibly a plateau or peak at the end.

2. Joan went further away from home for about 8 hours, rested, and then headed back home.

   • This scenario implies that Joan's speed would decrease (to zero during her rest) and then increase again as she returns home. The graph would have sections showing movement away from home, a flat line during rest, and then a return journey possibly at varying speeds.

3. Joan increased her speed from 0 to 5 hours, then rested until 14 hours had passed.

   • Initially, this would show an increase in speed over 5 hours, followed by a flat line for the rest duration. This scenario is clearly defined and would easily fit a speed vs. time graph with a clear increase followed by a drop to zero.

4. Joan climbed a small hill and then a much bigger hill.

   • This scenario indicates variation in speed due to the physical difficulty of hill climbing, but does not specify the timeframes or rest periods, making it less clear how it would display on a speed graph.

5. Joan is going at a constant speed away from home for 5 hours, then stops, picks up speed, then stops, then heads back home.

   • This describes elements of constant speed followed by stops and accelerations, which would translate to clear sections of speed on the graph, with segments of constant values followed by drops and increases.

Of these options, the most distinct and graphically representable scenarios are the first, second, third, and fifth, but if one had to be chosen, the third option best matches a clear speed increase then a rest, making it the most straightforward to depict on a speed graph.

However, without seeing the actual graph, it's challenging to definitively choose one option over another with complete accuracy. If the graph has clear segments of speed changes and flat lines, the fifth option could also be a strong candidate.