Final answer:
To design the hike, choose the location of each stop and determine the change in elevation from the previous location as well as the elevation of each location relative to sea level. The total change in elevation from the start of the hike to the bottom of the canyon is -200 feet.
Step-by-step explanation:
To design the hike, we need to choose the location of each stop and determine the change in elevation from the previous location as well as the elevation of each location relative to sea level. Here is an example of a possible hike:
- Start at the top of the canyon, which is 800 feet above sea level.
- Stop at the scenic landmark, which is at sea level. The change in elevation from the previous location is -800 feet, and the elevation of this location relative to sea level is 0 feet.
- Stop at the famous boulder, which is below sea level. The change in elevation from the previous location is -800 feet (same as the scenic landmark), and the elevation of this location relative to sea level is -800 feet.
- Stop at the bottom of the canyon, which is 600 feet below sea level. The change in elevation from the previous location is -200 feet, and the elevation of this location relative to sea level is -1400 feet.
The total change in elevation from the start of the hike to the bottom of the canyon is 800 + (-800) + (-200) = -200 feet.
To show the elevation of each location on a number line, you can assign a positive number for locations above sea level and a negative number for locations below sea level. For example:
- Top of the canyon: 800
- Scenic landmark: 0
- Famous boulder: -800
- Bottom of the canyon: -1400