To determine the best scale for representing the data on the x-axis, we need to first break down the timeline of the snowfall:
- First 2 hours: It snowed at a rate of 1 inch per hour.
- Stopped for 1.5 hours.
- Next 3 hours: It resumed snowing at a rate of 1.5 inches per hour.
Now let's summarize the total duration of the storm:
- Total duration of snowing: 2 hours + 3 hours = 5 hours
- Total duration including the stopped time: 5 hours + 1.5 hours = 6.5 hours
Given this information, the x-axis should represent a total duration of 6.5 hours.
Now, we must choose from the provided scale options: 3, 5, 0.5, and 2.
- Scale of 0.5: This would allow for detailed representation of the time intervals, ideally covering each hour and half-hour, making it very precise for the 6.5-hour duration.
- Scale of 1: Not an option here, but good to mention as 1 hour would also work, as it spans 0 to 7 easily.
- Scale of 2: This would cover 0 to 8 hours but isn't as granular.
- Scale of 3 and 5: Would cover too few intervals and lose some granularity.
The best option for representing the duration covering 6.5 hours while allowing clear granularity between hours would be a scale of 0.5 hours. Thus, the answer is 0.5.