Problema Solution
The total spending S on health care in the United States (in Billions of Dollars) can be approximated by (Please show your work)
S = .78x2 + 5.93x + 232.2
where x is the number of years since 1960.
Find the year in which the total spending is $2,351,000,000,000?
Answer provided by our tutors
let x be the year then the total spending is $2,351,000,000,000 that is 2351 billions since 1 billion = 10^9 and x > 0
0.78x^2 + 5.93x + 232.2 = 2351
by solving the quadratic equation we find the roots
x1 = 48.563 = 49 approximately
x2 = - 56.589
we are interested only in the positive roots of the quadratic equation since the year can not be a negative number that is x>0
In the year of 1960 + 48.563 = 2008.563 = 2009 approximately the total spending will be $2,351 billions or $2,351,000,000,000.