2. Let's explore the behavior of the function that relates altitude, h, in meters, and atmospheric pressure, P(h), in millibars. Below is a table and a graph for a set of altitude values and pressure...

Extracted text: 2. Let's explore the behavior of the function that relates altitude, h, in meters, and atmospheric pressure, P(h), in millibars. Below is a table and a graph for a set of altitude values and pressure values. h (meters) P(h) (millibars) Description 1000 sea level 553 946.71 CN Tower, Toronto, Ontario, Canada Guadalupe Peak, highest point in Texas 2,667 767.91 4,392 647.33 Mt. Rainier, highest point in Washington state 11,000 336.48 commercial airliner altitude Pressure (millibars) 1000 900 800 700 600 500 400 300 200 100 Altitude (thousand meters) 10 (a) Explain why a linear function would not be a good model for this set of data. (b) At which altitude is the air pressure equal to 500 millibars? (c) Write a formula for P(h), the atmospheric pressure, in terms of h, the altitude. Check your formula using the data given in the table. (d) What is the atmospheric pressure at the top of Mount Everest (8848 meters)? What is the at- mospheric pressure at Death Valley National Park (86 meters below sea level)? Do your answers make sense?