To create the graph that represents the amount of snow on the ground over time based on the description:

1. Initial Condition: At the start of the storm (0 hours), there are already 5 inches of snow on the ground.

2. First Segment (0 to 3 hours):

   • Snow falls at a rate of 1 inch per hour for 3 hours.
   • Starting from 5 inches, after 3 hours, there will be $5 + 3 \times 1 = 8$ inches of snow.
   • Plot this as a line segment from (0, 5) to (3, 8).

3. Second Segment (3 to 8 hours):

   • Snow stops falling for the next 5 hours.
   • The amount of snow remains constant at 8 inches.
   • Plot a horizontal line segment from (3, 8) to (8, 8).

4. Third Segment (8 to 11 hours):

   • Snow starts falling again at a rate of 3 inches per hour for the next 3 hours.
   • After 3 hours of snowfall at this rate, the snow accumulation will be $8 + 3 \times 3 = 17$ inches.
   • Plot a line segment from (8, 8) to (11, 17).

The graph should look like a piecewise linear graph with these three segments.

If you would like me to create this graph for you or if you have any questions about the steps, please let me know!

Here are five questions you might explore based on this problem:

1. What would the graph look like if the snowfall rate had been different during the second snowfall period?
2. How would the total snowfall amount change if the initial snowfall rate lasted longer than 3 hours?
3. What would the graph look like if there was a period of snow melting instead of accumulation?
4. How can we determine the total accumulation of snow if different segments had varied snowfall rates?
5. How does the slope of each segment relate to the rate of snowfall?

Tip: To analyze piecewise functions like this, focus on each segment independently before combining them into a single graph.