Question
National health expenditures are projected to grow at the rate of$$r(t)=0.0058 t+0.159 \quad(0 \leq t \leq 13)$$trillion dollars/year from 2002 through 2015. Here, $t=0$ corresponds to 2002 . The expenditure in 2002 was $\1.60$ trillion.a. Find a function $f$ giving the projected national health expenditures in year $f$b. What does your model project the national health expenditure to be in $2015 ?$
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0058 t+0.159$ for $0 \leq t \leq 13$, we can express this as the derivative of the expenditure function $f(t)$ with respect to time, i.e., $\frac{df}{dt} = r(t)$. Show more…
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National health expenditures are projected to grow at the rate of $$r(t)=0.0058 t+0.159 quad(0 leq t leq 13)$$ trillion dollars/year from 2002 through 2015. Here, $t=0$ corresponds to 2002 . The expenditure in 2002 was $$ 1.60$ trillion. a. Find a function $f$ giving the projected national health expenditures in year $t$ b. What does your model project the national health expenditure to be in $2015 ?$
National health expenditures are projected to grow at the rate of ?(?) = 0.0058? + 0.159 (0 ≤ ? ≤ 13) trillion dollars/year from 2002 to 2015. Here, ? = 0 corresponds to 2002. The expenditure in 2002 was $1.6 trillion. a.Find a function ? giving the projected national health expenditures in the year ?. b. What are the units on ?(?)? c. What does your model predict the national health expenditure to be in 2015?
National health expenditures per capita (E) in dollars have risen dramatically since 2000. By using data from the Centers for Medicare and Medicaid Services from 2006 and projected to 2021, the rate of change of health expenditures per capita can be modeled by dE / dt = 41.22t - 116.4 dollars per year, where t is the number of years past 2000. (a) Find the function that models the national health expenditures per capita if these expenditures were $9808 in 2014. Use four significant digits. (b) Use the model from part (a) to predict the national health expenditures per capita for 2020.
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