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) =-0.09h^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 of the antibiotic after 3 hours, we need to substitute h = 3 into the function C(h) and solve for C(3).
C(3) = -0.09(3)^2 + 3.5(3) + 8
C(3) = -0.09(9) + 10.5 + 8
C(3) = -0.81 + 10.5 + 8
C(3) = 9.69
Therefore, the concentration of the antibiotic after 3 hours is approximately 9.69 parts per million.