That sounds like a fun situation for Leo and his classmates! To analyze the linear relationship between the time it snows and the total amount of snow, we can express it using the equation of a line. Typically, this relationship can be modeled as:
\[ S(t) = mt + b \]
Where:
- \( S(t) \) is the total amount of snow (in inches) at time \( t \) (in hours).
- \( m \) is the rate of snowfall (in inches per hour).
- \( t \) is the time snow has been falling (in hours).
- \( b \) is the initial amount of snow on the ground (which may be 0 if starting from bare ground).
For example, if the rate of snowfall is 2 inches per hour and there is no initial snow, the equation would be:
\[ S(t) = 2t + 0 \]
So after 1 hour of snow, there would be 2 inches of snow; after 2 hours, there would be 4 inches, and so on.
If you have specific values for the rate of snowfall or initial conditions, we could create a more tailored equation to represent the situation. Would you like to provide any specific numbers or additional context?
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