The concentration, in parts per million, of a type of antibiotic in a human's bloodstream after h hours can be modeled by the polynomial function C(h)=-0.009h^2 + 3.5h+8 What is the concentration of the antibiotic after 3 hours in parts per million to the nearest hundredths?
To find the concentration after 3 hours, we can substitute h=3 into the function C(h):
C(3) = -0.009(3)^2 + 3.5(3) + 8
C(3) = -0.009(9) + 10.5 + 8
C(3) = -0.081 + 10.5 + 8
C(3) = 18.42
Therefore, the concentration of the antibiotic after 3 hours is approximately 18.42 parts per million.