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

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

5,500

6,000

6,500

7,000

7,500

8,000

8,500

9,000

9,500

10,000

0.142

0.100

0.085

0.066

0.051

0.041

0.025

0.022

0.019

0.014

TABLE A3 Altitude to Air Density Relationship

The length-weight relationship and the altitude-air density relationships in these two figures represent

averages. If you were to collect actual data on air pressure at different altitudes, the same altitude in different

geographic locations will have slightly different air density, depending on factors like how far you are from the

equator, local weather conditions, and the humidity in the air. Similarly, in measuring the height and weight of

children for the previous line graph, children of a particular height would have a range of different weights,
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