The atmospheric pressure 'p' in Pascals, is related to the number of kilometers, 'h' above sea level by the function p(h)=760(2.7)^-0.145h. Find the atmospheric pressure at the height of 10 kilometers. Round answer to nearest tenth. Show all work.

Question

The atmospheric pressure 'p' in Pascals, is related to the number of kilometers, 'h' above sea level by the function p(h)=760(2.7)^-0.145h.  Find the atmospheric pressure at the height of 10 kilometers.  Round answer to nearest tenth.  Show all work.

stormfire1 · Answer

This is a simple plug and chug problem:
$$p(h)=760*2.5^{-0.145h}$$$$p(h)=760*2.5^{-0.145(10km)}$$
Plug that into your calculator to get the answer.