49. National health care National expenditures for health care H (in billions of dollars) have risen dramatically in the past 20 years. By using U.S. Department of Health and Human Services, Center for Medicare and Medical Services data (actual and projected) from 2000 to 2015, the rate of change of expenditures can be modeled by dH = 10.066t + 100.5 dt billions of dollars per year, where t = 0 represents 2000. (a) Find the function that models the national expendi- tures for health care if expenditures in 2009 were $2689 billion. (b) Use the model from part (a) to predict the national health care expenditures for 2015.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
49. National health care National expenditures for health
care H (in billions of dollars) have risen dramatically in
the past 20 years. By using U.S. Department of Health
and Human Services, Center for Medicare and Medical
Services data (actual and projected) from 2000 to 2015,
the rate of change of expenditures can be modeled by
dH
= 10.066t + 100.5
dt
billions of dollars per year, where t = 0 represents 2000.
(a) Find the function that models the national expendi-
tures for health care if expenditures in 2009 were
$2689 billion.
(b) Use the model from part (a) to predict the national
health care expenditures for 2015.
Transcribed Image Text:49. National health care National expenditures for health care H (in billions of dollars) have risen dramatically in the past 20 years. By using U.S. Department of Health and Human Services, Center for Medicare and Medical Services data (actual and projected) from 2000 to 2015, the rate of change of expenditures can be modeled by dH = 10.066t + 100.5 dt billions of dollars per year, where t = 0 represents 2000. (a) Find the function that models the national expendi- tures for health care if expenditures in 2009 were $2689 billion. (b) Use the model from part (a) to predict the national health care expenditures for 2015.
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Differential Equation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning