To represent the data on the y-axis effectively, we first need to determine the total snowfall accumulation.
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For the first 2 hours, it snowed at a rate of 1 inch per hour:
- Total snowfall = 2 hours × 1 inch/hour = 2 inches.
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Then there was no snowfall for 1.5 hours.
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The snow resumed at a rate of 1.5 inches per hour for 3 hours:
- Total snowfall during this period = 3 hours × 1.5 inches/hour = 4.5 inches.
Now, we can sum the total snowfall:
- Total = 2 inches (first 2h) + 0 inches (1.5h stop) + 4.5 inches (next 3h) = 6.5 inches.
The best scale for the y-axis should be able to effectively represent this total snowfall of 6.5 inches. Among the options given:
- 0.5 is a scale that could be used, allowing for detailed increments.
- 2 is a scale that would allow for increments of 2 inches, which gives a broader view but might not capture small variations well.
- 3 and 5 are also scales that could work, but they might be too large for precise representation of smaller increments.
Given that the total snowfall is 6.5 inches, a scale of 0.5 would work best for accurately representing the variations in snowfall amounts in the data.