The atmospheric pressure (in millibars) at a given altitude (in meters) is listed in the table.(a) Find functions of the form P = a • b^x, P = mx + b, and P = 1/(ax + b) that fit the data at x = 0 and x = 10,000, where P is the pressure and x is the altitude.
(b) Plot the data in the table and graph the three functions found in part (a). Which function best fits the data?
(c) Use the best-fitting function from part (b) to predict pressure at 1500 m and 11,000 m. Compare your answers to the true values of 846 millibars and 227 millibars, respectively.
(d) If you have a graphing calculator or computer program with an exponential regression feature, use it to find an exponential function that approximately fits the data. How does this answer compare with the answer to part (b)?

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Altitude Pressure 0 1013 1000 2000 3000 4000 5000 6000 7000 8000 9000 10,000 899 795 701 617 541 472 411 357 308 265