Solve the problem.

Question

The function defined by
​P(x)=1007e−0.0001272x approximates the atmospheric pressure​ (in millibars) at an altitude of x meters. Use P to predict the pressure at 0 meters and 13,000 meters.
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Question content area right
Part 1
The pressure at 0 meters is
10071007 millibars.
Part 2
The pressure at 13,000 meters is
enter your response here millibars.
​(Round to the nearest whole​ number.)

Answer 1

To find the pressure at 0 meters, we need to plug in x = 0 into the equation P(x) = 1007e^(-0.0001272x):

P(0) = 1007e^(-0.0001272(0))
P(0) = 1007e^(0)
P(0) = 1007 * 1
P(0) = 1007 millibars

Therefore, the pressure at 0 meters is 1007 millibars.

To find the pressure at 13,000 meters, we need to plug in x = 13,000 into the equation P(x) = 1007e^(-0.0001272x):

P(13,000) = 1007e^(-0.0001272(13,000))
P(13,000) = 1007e^(-1.6516)
P(13,000) ≈ 1007 * 0.1912
P(13,000) ≈ 192.9

Rounded to the nearest whole number, the pressure at 13,000 meters is 193 millibars.