Modeling Data The atmospheric pressure decreases with increasing altitude. At sea level, the average air pressure is one atmosphere (1.033227 kilograms per square centimeter). The table shows the pressures p (in atmospheres) at selected altitudes h (in kilometers). h0 5 10 15 20 25 1 0.55 0.25 0.12 0.06 0.02 (a) Use a graphing utility to find a model of the form p = a + b ln h for the data. Explain why the result is an error message. (b) Use a graphing utility to find the logarithmic model h = a + b ln p for the data. (c) Use a graphing utility to plot the data and graph the model from part (b).
Modeling Data The atmospheric pressure decreases with increasing altitude. At sea level, the average air pressure is one atmosphere (1.033227 kilograms per square centimeter). The table shows the pressures p (in atmospheres) at selected altitudes h (in kilometers). h0 5 10 15 20 25 1 0.55 0.25 0.12 0.06 0.02 (a) Use a graphing utility to find a model of the form p = a + b ln h for the data. Explain why the result is an error message. (b) Use a graphing utility to find the logarithmic model h = a + b ln p for the data. (c) Use a graphing utility to plot the data and graph the model from part (b).
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.6: Optimization
Problem 11E: Maximum Sales Growth This is a continuation of Exercise 10. In this exercise, we determine how the...
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need to know the procedure to find the value of a and b, of the function h = a+blnp, given in the picture attached
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