   Chapter 4.5, Problem 79E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Consumer Trends The numbers of employees E (in thousands) at outpatient care centers from 2009 through 2013 are shown in the table. Year 2009 2010 2011 2012 2013 Employees 558 600 621 649 682 The data can be modeled by E = 323.3 ln t - 151, where t = 9 corresponds to 2009. (Source: U.S. Bureau of Labor Statistics)(a) Use a graphing utility to plot the data and graph E over the interval [9, 13]|.(b) At what rate was the number of employees changing in 2011?

(a)

To determine

To graph: The data provided in the table for number of employees E in thousands with the help of graphing utility at outpatient care centers from the year 2009 to 2013 and the model for data is E=323.3lnt151,

 Year 2009 2010 2011 2012 2013 Employees 558 600 621 649 682
Explanation

Given Information:

The provided model is E=323.3lnt151 and the table for number of employees, E in thousands at outpatient care centers from the year 2009 to 2013 is,

 Year 2009 2010 2011 2012 2013 Employees 558 600 621 649 682

Graph:

Consider the function E=323.3lnt151.

Steps to plot the graph of the function E=323.3lnt151 using T 183 graphing utility:

Step 1: Press “STAT” and then “EDIT”.

Step 2: Enter the value of year in L1 and employees in L2

(b)

To determine

To calculate: The rate of change of number of employees in the year 2011, if the number of employees E in thousands at outpatient care centers from the year 2009 to 2013 and the model for data is E=323.3lnt151,

 Year 2009 2010 2011 2012 2013 Employees 558 600 621 649 682

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