   Chapter 13.2, Problem 56E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Health care costs The total annual health care costs in the United States (actual and projected, in billions of dollars) for selected years are given in the table. The equation y =   4.447 x 2 −   9.108 x   +   1055.4 models the annual health care costs, y (in billions of dollars per year), as a function of the number of years past 1990, x. Use a definite integral and this model to find the total cost of health care over the period 2005-2015. Year Cost Year Cost 2000 1353 2012 2931 2003 1735 2015 3541 2006 2113 2018 4353 2009 2509 Source: U.S. Department of Health and Human Services

To determine

To calculate: The total U.S. health care costs over the period 20052015 where the costs is modelled by given by y=4.447t29.108t+1055.4 billion dollars per day where the table represents total U.S. health care costs.

 Year Cost 2000 1353 2003 1735 2006 2113 2009 2509 2012 2931 2015 3541 2018 4353
Explanation

Given Information:

The provided table is:

 Year Cost 2000 1353 2003 1735 2006 2113 2009 2509 2012 2931 2015 3541 2018 4353

Calculation:

Consider the table:

 Year Cost 2000 1353 2003 1735 2006 2113 2009 2509 2012 2931 2015 3541 2018 4353

Since, total cost from t=5 to t=15 is represented by an integral with limits from t=5 to t=15.

Thus, total cost is 515ydt

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