Write H(t) for the amount spent in the United States on health care in year t, where t is measured in years since 2000. The rate of increase of H(t) was projected to rise from $100 billion per year in 2000 to approximately $190 billion per year in 2010.†(a) Find a linear model for the rate of change H'(t)
H'(t) = ? billion dollars per yr
(b) Given that $1,300 billion was spent on health care in the United States in 2000, find the function H(t).
H(t) = ? billion dollars