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?

Question

osprey · Answer

The relationship could be "inverse linear". 
Density is proportional to 1/altitude.

If I remember it, "inverse linear" would graph to a rectangular hyperbola.
Density vs H ... 
At LOW H, HIGH density (asymptotic to something or other). 
At HIGH H, LOW density (ditto)
for interpolations or slopes, maybe its the central bit that would be ok. Maybe also doing a graph and having a look may help.

I put "inverse linear" in quotes because I often meet "inverse square" relationships in, for example, gravity and/or electrostatics.