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 2,667 767.91 Guadalupe Peak, highest point in Texas 4,392 647.33 Mt. Rainier, highest point in Washington state 11,000 336.48 commercial airliner altitude Pressure (millibars)

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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?
Transcribed Image 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?
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