Air pressure at sea level is 30 inches of mercury. At an altitude of h feet above the, air pressure, P, in inches of mercury, is given by,
P = 30e-3.23x10-5h
a) Sketch a graph of P against h.
b) Find th equation of the tangent line at h=0
c) A rule of thumb is given by travelers is that air pressure drops about 1 inch for every 1000-foot increase in height above sea level. Write a formula for the air pressure given by this rule of thumb.
d) Compare the predictions made by the rule of thumb and the formula. Are the rule of thumb too large, too small, or exact?

Question

Air pressure at sea level is 30 inches of mercury. At an altitude of h feet above the, air pressure, P, in inches of mercury, is given by,
                              P = 30e-3.23x10-5h   
a) Sketch a graph of P against h. 
b) Find th equation of the tangent line at h=0
c) A rule of thumb is given by travelers is that air pressure drops about 1 inch for every 1000-foot increase in height above sea level. Write a formula for the air pressure given by this rule of thumb.
d) Compare the predictions made by the rule of thumb and the formula. Are the rule of thumb too large, too small, or exact?