A meteorologist uses the function P(x)=29.9(0.89)x to model the atmospheric pressure, in inches of mercury, at an altitude of x kilometers above sea level. According to the model, how does the atmospheric pressure change with altitude?
According to the given function, the atmospheric pressure decreases exponentially as the altitude increases. This is because as altitude increases, there is less air above pushing down on the Earth's surface, resulting in lower atmospheric pressure. This is represented by the base of the exponential function (0.89), which is less than 1, indicating a decrease in pressure as x increases.
