Question

Air pressure may be represented as a function of height above the surface of the Earth as shown below.. P(h) = P_0 e^-.00012h. . . . In this function, P0 is air pressure at sea level, and h is measured in meters. Which of the following equations will find the height at which air pressure is 85% of the air pressure at sea level?. . P_o =.85P_o e^-.00012h. .85p_o=p_o e^-.00012h. h= .85 e^-.00012h. .85 =h x e ^-.00012h

Answer 1

Answer. Second Option: .85p_o=p_o e^-.00012h

Solution:

P(h)=Po e^(-0.00012h)

Air pressure: P(h)

Height above the surface of the Earth (in meters): h

Air pressure at the sea level: Po

Height at which air pressure is 85% of the air pressure at sea level:

h=?, P(h)=85% Po

P(h)=(85/100) Po

P(h)=0.85 Po

Replacing P(h) by 0.85 Po in the formula above:

P(h)=Po e^(-0.00012h)

0.85 Po = Po e^(-0.00012h)

Answer 2

The equation that will find the height if the pressure is 85% of the air pressure at sea is: P(h)= .85*P0e^-0.00012h