Word Problem

Question

A nighttime cough syrup exponentially decays in the bloodstream, as represented by the function A(t)=I(.60)^t where t is time in hours and I is the initial amount taken. If Belinda initially took 5 milligrams of the syrup before bed, how much is in her bloodstream when she wakes up 8 hours later?

Answer 1

A(t) = i(0.60)^t

A(8) = 5(0.60)⁸

A(8) ≈ 5(0.01679616)