The density of atmosphere (measured in kilograms/meter3) on a certain planet is found to decrease as altitude increases (as measured from the planet's surface). What is the type of relationship between the height (H) and the atmospheric density, and which segment can give the most accurate approximations for the interpolated values?

Since in the problem it is stressed out that the density of the atmosphere is found to decrease with increasing altitude, the relationship between the height (H) and the density is inversely proportional. There is no given segment in the problem but the general idea is that wherever is that segment that would allow us to properly conclude the statement we previously made, that should be the answer.

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calculista calculista · Answer 2 · 2018-09-01T18:50:57+02:00

see the attached figure to better understand the problem

we know that

A relationship between two variables, D and H, represent an inverse variation if it can be expressed in the form [tex]H*D=k \ or\ H=k/D[/tex]

where

D---------> is the atmospheric density in [tex] \frac{km}{ m^{3}}[/tex]

H------> is the altitude in km

k -----is a constant

if the atmospheric density increase, then the altitude decrease and if the atmospheric density decrease, then the altitude increase

The segment that can give the most accurate approximations is the CD segment, since it is the CD interval that is closest to a straight line.

therefore

the answer is

The type of relationship between the height (H) and the atmospheric density is an inverse variation and the most accurate approximations for the interpolated values is the segment CD