# Math

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As dry air moves upward it expands and in doing so cools at a rate of 1 degrees Celsius for each 100 m rise up to about 12 km
If the ground temperature is 20 degrees Celsius find an expression for the temperature T as a function of the height H
the answer is T=20-10h(h in kilometers) please show and explain steps thanks

• Math -

look at a table we can set up

distance --- temp ......... by formula
0...................... 20 , T = 20 - 10(0) = 20
100 m or .1 km.. 19 , T = 20 - 10(.1) = 19
200 m or .2 km..18 , T = 20 - 10(.2) = 18
...
...
5000 m or 5 km.. -30 , T = 20 - 10(5) = -30

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