Suppose a person is put on an IV of 30mg/L of a medication. The concentration of medication in a person's bloodstream is 30t C(t) 200 + t where t represents time.
(a) What happens to the concentration after a long time?
(b) What is the average rate of change of the concentration of medication in a person's blood- stream between t= 0 and t= 3.
(c) What is the instantaneous rate of change of the concentration of medication in a person's bloodstream between t = 1.
MATA29
a) Once evaluating the rational function, we see that there is a horizontal asymptote at y=30. We know this because in a rational function the first term of the numerator and denominator make up the horizontal asymptote, in this case being 30/1, therefore 30. So, after a ling time the concentration of medicine in the bloodstream will reaches a plateau; the asymptote, meaning the concentration will not go beyong 29.999̅.