Chapter 4.4, Problem 16E

Special Rounding Instructions For this exercise set, round all regression parameters to three decimal places, but round all other answers to two decimal places unless otherwise indicated.

Atmospheric Pressure The table below gives a measurement of atmospheric pressure, in grams per square centimeter, at the given altitude, in kilometers.

Altitude	Atmospheric Pressure
$5$	$569$
$10$	$313$
$15$	$172$
$20$	$95$
$25$	$52$

(For comparison, 1 kilometer is about 0.6 mile, and 1 gram per square centimeter is about 2 pounds per square foot.)

a. Plot the data on atmospheric pressure.

b. Make an exponential model for the data on atmospheric pressure.

c. What is the atmospheric pressure at an altitude of 30 kilometers?

d. Find the atmospheric pressure on Earth’s surface. This is termed standard atmospheric pressure.

e. At what altitude is the atmospheric pressure equal to $25\%$ of standard atmospheric pressure?