Solve the problem.

Question

The function defined by P(x)=994e^0.0001308x approximates the atmospheric pressure​ (in millibars) at an altitude of x meters. Use P to predict the pressure at 0 meters and 10,000meters.

Answer 1

To predict the atmospheric pressure at 0 meters, we can substitute x = 0 into the equation P(x) = 994e^(0.0001308x):

P(0) = 994e^(0.0001308 * 0)
P(0) = 994e^0
P(0) = 994 * 1
P(0) = 994 millibars

Therefore, the predicted atmospheric pressure at 0 meters is 994 millibars.

To predict the atmospheric pressure at 10,000 meters, we can substitute x = 10,000 into the equation P(x) = 994e^(0.0001308x):

P(10,000) = 994e^(0.0001308 * 10,000)
P(10,000) = 994e^1.308
P(10,000) ≈ 994 * 3.698
P(10,000) ≈ 3,673.812 millibars

Therefore, the predicted atmospheric pressure at 10,000 meters is approximately 3,673.812 millibars.