Chapter 4, Problem 88RE

Health Expenditures The health expenditures (in billions of dollars) for a certain country from $1990$ to $2010$ are given approximately by $f(t)=27e^{0.106t}$, with time in years measured from $1990$. Give approximate answers to the following questions using the graphs of $f\left(t\right)$ and $f\text{'}\left(t\right)$ shown in Fig. 3.

a. How much money was spent in $2008$?

b. How fast were expenditures rising in $2002$?

c. When did expenditures reach $\$120$ billion?

d. When were expenditures rising at the rate of $\$20$ billion per year?