Math Problem Statement
Solution
The problem is asking to determine how much snow will fall at different times, given a steady rate of snowfall. We are told that 4 inches of snow has fallen after 2 hours.
From this information, we can calculate the rate of snowfall. The rate of snowfall is:
Now, let's complete the table based on this constant rate of 2 inches per hour.
Table Completion:
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Time = 1 hour: Using the rate of 2 inches per hour, after 1 hour, the snow fallen will be:
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Time = 2 hours: This is already provided in the problem. After 2 hours, 4 inches of snow has fallen.
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Time = 6.5 hours: We can calculate the amount of snow after 6.5 hours by using the same rate:
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Time = hours: For a general value of , the snow fallen will be:
So the completed table should be:
Time (hours) | Snow (inches) |
---|---|
1 | 2 |
2 | 4 |
6.5 | 13 |
Would you like any further details on this? Here are some related questions for you:
- How would the snowfall change if the rate increased to 3 inches per hour?
- What is the total snow after 10 hours at the same rate?
- How would you calculate the snow fallen if the rate was unknown but the final snow height was given?
- How can you verify that the snowfall is indeed constant?
- If the rate were to change after 3 hours, how would that affect the table?
Tip: Always identify the rate of change when solving problems involving steady rates or linear relationships!
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Math Problem Analysis
Mathematical Concepts
Algebra
Rates
Proportional Relationships
Formulas
Rate of snowfall = (Total snow)/(Total time)
Total snow = Rate of snowfall × Time
Theorems
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Suitable Grade Level
Grades 6-8