Final answer:
The altitude relationship with air density shows a decrease in air density by approximately 0.1 kg/cubic meter per 1,000 meters of altitude gain between 4,000 and 6,000 meters, and at Mount Everest's peak, the air density is 0.023 kg/cubic meter.
Step-by-step explanation:
In the provided scenario, we are analyzing the Altitude-Air Density Relationship using points representing an altitude of 4,000 meters and an altitude of 6,000 meters. Using the given 'Rise' and 'Run' values, we calculate that from an altitude of 4,000 meters up to 6,000 meters, the density of air decreases by approximately 0.1 kilograms/cubic meter for each 1,000 meters of increase in altitude. Furthermore, it is shown that at the top of Mount Everest, which is at an altitude of about 8,828 meters, the air density is roughly 0.023 kilograms/cubic meter.