The rate of change of atmospheric pressure $P$ with respect to altitude $h$ is proportional to $P,$ provided that temperature is constant. At $15^\circ\text{C},$ the pressure is $101.3$kPa at sea level and $87.14$kPa at $h=1000$m. Answer the following questions.

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1. What is the pressure at an altitude of $2500$m?
Answer (in kPa):

2. What is the pressure at the top of Pikes Peak in Colorado, at an altitude of $4302$m?
Answer (in kPa):

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