Chapter 13.1, Problem 57E

(a)

To determine

To calculate: The linear model for the rate of change $H^{\prime }\left(t\right)$ of amount spent in the United States on health care $H\left(t\right)$, if the increase rate of $H\left(t\right)$ in year $1990$ is $\$65$ billion per year and in $2000$ is $\$100$ billion per year, t is the year measured from $1990$.

(b)

To determine

To calculate: The function of amount spent in the United States on health care $H\left(t\right)$, if the increase rate of $H\left(t\right)$ in year $1990$ is $\$65$ billion per year and in $2000$ is $\$100$ billion per year and t is the year measured from $1990$ amount spent on health care in this year is $\$700$ billion.