Kato is training for a race up the slope of Mt. Hood, from Sandy to Government Camp, and then back. The graph below models his elevation from his starting point as time passes. Find the slopes of the three line segments, and interpret their meanings in this context.
  1. The first segment has slope
    .
  2. The second segment has slope
    .
  3. The third segment has slope
    .
The first segment started at and stopped at This implies, Kato started at the starting point, traveled hours and reached a point feet higher in elevation from the starting point. The slope of the line is
and with units, that is ft/hr. In context, Kato was running, gaining feet in elevation per hour.
The third segment started from and stopped at This implies, Kato started this part of his trip from a spot feet higher in elevation from the starting point, traveled for hours and returned to the starting elevation. The slope of the line is
and with units, that is ft/hr. In context, Kato was running, dropping in elevation by feet per hour.
What happened in the second segment, which started at and ended at This implies he started this portion feet higher in elevation from the starting point, and didn’t change elevation for hours. The slope of the line is
and with units, that is ft/hr. In context, Kato was running, but neither gaining nor losing elevation.