Modeling Data The table shows the health care expenditures h (in billions of dollars) in the United States and the population p(in millions) of the United States for the years2008 through 2013.The year is represented by t, with t = 8 corresponding to 2008. (Source: U.S. Centers for Medicare& Medicaid Services and U.S. Census Bureau) Year, t 8 9 10 11 12 13 h 2414 2506 2604 2705 2817 2919 p 304 307 309 311 313 315 (a) Use a graphing utility to find linear models for the healthcare expenditures h(t) and the population (t). (b) Use a graphing utility to graph h(t) and p(t). (c) Find A = h ( t ) / p ( t ) , then graph using a graphing utility. What does this function represent? (d) Find and interpret A'(t) in the context of the problem.
Modeling Data The table shows the health care expenditures h (in billions of dollars) in the United States and the population p(in millions) of the United States for the years2008 through 2013.The year is represented by t, with t = 8 corresponding to 2008. (Source: U.S. Centers for Medicare& Medicaid Services and U.S. Census Bureau) Year, t 8 9 10 11 12 13 h 2414 2506 2604 2705 2817 2919 p 304 307 309 311 313 315 (a) Use a graphing utility to find linear models for the healthcare expenditures h(t) and the population (t). (b) Use a graphing utility to graph h(t) and p(t). (c) Find A = h ( t ) / p ( t ) , then graph using a graphing utility. What does this function represent? (d) Find and interpret A'(t) in the context of the problem.
Modeling Data The table shows the health care expenditures h (in billions of dollars) in the United States and the population p(in millions) of the United States for the years2008 through 2013.The year is represented by t, with
t
=
8
corresponding to 2008. (Source: U.S. Centers for Medicare& Medicaid Services and U.S. Census Bureau)
Year, t
8
9
10
11
12
13
h
2414
2506
2604
2705
2817
2919
p
304
307
309
311
313
315
(a) Use a graphing utility to find linear models for the healthcare expenditures h(t) and the population (t).
(b) Use a graphing utility to graph h(t) and p(t).
(c) Find
A
=
h
(
t
)
/
p
(
t
)
, then graph using a graphing utility. What does this function represent?
(d) Find and interpret A'(t) in the context of the problem.
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