c(t), in milligrams after t hrs is modeled by c(t) =8t/3t^2+3; Est. 3 hrs. (round nearest hundredth)?

Question

Simplify the rational expression. Estimate the drug's concentration after 3 hours. C(t) = 8t / 3t^2 + 3
(Round to the nearest hundredth)

Answer 1

C(t) = 8t / (3t^2+3) = 8t / 3(t^2+1)
You can't really simplify this much further.
C(3) = 24 / 30 = 4/5 = 0.8 mg.