piecewise linear graph starting at (0,0), increasing to (3,-1), continuing at -1 to (6,-1), and then increasingto (8,7).

The graph above illustrates your north-south distance in miles from the edge of a lake in hours from noon (where positive values mean you are north of the lake). When the graph passes through the axis, it means you pass by the edge of the lake (so your distance is 0). Complete the following description of your journey, selecting the correct descriptions of directions and filling in the numerical values for the indicated distances and speeds.

"At noon I am a distance of miles from the lake relaxing. I then jump on my bike and start to cycle the lake at a speed of mph. At 3pm I stop for a rest and a picnic for three hours. I then jump back on my bike and cycle the lake at a speed of mph. At 8pm I arrive at my house which is a distance of miles from the lake."

You can earn partial credit on this problem.