about 8,828 meters, would weigh only 0.023 kilograms. The thin air at high altitudes explains why many

mountain climbers need to use oxygen tanks as they reach the top of a mountain.

FIGURE A4 Altitude-Air Density Relationship This line graph shows the relationship between altitude, measured in

meters above sea level, and air density, measured in kilograms of air per cubic meter. As altitude rises, air density

declines. The point at the top of Mount Everest has an altitude of approximately 8,828 meters above sea level (the

horizontal axis) and air density of 0.023 kilograms per cubic meter (the vertical axis).

Altitude (meters) Air Density (kg/cubic meters)

0

500

1,000

1,500

2,000

2,500

3,000

3,500

4,000

4,500

5,000

1.200

1.093

0.831

0.678

0.569

0.484

0.415

0.357

0.307

0.231

0.182

TABLE A3 Altitude to Air Density Relationship

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A • The Use of Mathematics in Principles of Economics 509
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