Question
A snowstorm took place during the weekend. Meteorologists tracked the total amount of snowfall for the storm. For the first 2 hours, it snowed at a rate of 1 inch per hour. The snow stopped for an hour and a half, then resumed at a rate of 1.5 inches per hour for the next 3 hours. Based on this information, what scale would work best for representing the data on the y-axis?(1 point)
A) 2
B) 5
C)3
D)0.5
A) 2
B) 5
C)3
D)0.5
Answers
GPT-4o mini
To determine the best scale for representing the total snowfall on the y-axis, we first need to calculate the total snowfall during the entire snowstorm.
1. For the first 2 hours at a rate of 1 inch per hour:
- Snowfall = 2 hours * 1 inch/hour = 2 inches
2. Then, there is a break for 1.5 hours with no snowfall.
3. For the next 3 hours at a rate of 1.5 inches per hour:
- Snowfall = 3 hours * 1.5 inches/hour = 4.5 inches
Now, we can add the total snowfall:
- Total snowfall = 2 inches (first 2 hours) + 0 inches (1.5 hours break) + 4.5 inches (last 3 hours)
- Total snowfall = 2 + 0 + 4.5 = 6.5 inches
With the maximum total snowfall being 6.5 inches, we need to choose a scale for the y-axis that is appropriate for this range. The possible answer choices were:
A) 2
B) 5
C) 3
D) 0.5
A scale of 1 inch (based on options available) would also work, but since it is not listed as an option, a scale of 0.5 inches (D) would allow you to represent the snowfall range (0 to 7 inches) with sufficient detail and clarity, providing steps of 0.5 inches up to 6.5 inches.
Therefore, the best scale for representing the data on the y-axis would be:
**D) 0.5**
1. For the first 2 hours at a rate of 1 inch per hour:
- Snowfall = 2 hours * 1 inch/hour = 2 inches
2. Then, there is a break for 1.5 hours with no snowfall.
3. For the next 3 hours at a rate of 1.5 inches per hour:
- Snowfall = 3 hours * 1.5 inches/hour = 4.5 inches
Now, we can add the total snowfall:
- Total snowfall = 2 inches (first 2 hours) + 0 inches (1.5 hours break) + 4.5 inches (last 3 hours)
- Total snowfall = 2 + 0 + 4.5 = 6.5 inches
With the maximum total snowfall being 6.5 inches, we need to choose a scale for the y-axis that is appropriate for this range. The possible answer choices were:
A) 2
B) 5
C) 3
D) 0.5
A scale of 1 inch (based on options available) would also work, but since it is not listed as an option, a scale of 0.5 inches (D) would allow you to represent the snowfall range (0 to 7 inches) with sufficient detail and clarity, providing steps of 0.5 inches up to 6.5 inches.
Therefore, the best scale for representing the data on the y-axis would be:
**D) 0.5**