Question

If a hospital patient is given 100 milligrams of medicine which leaves the bloodstream at 14% per hour, how many milligrams of medicine will remain in the system after 10 hours? Use the function A(t) = Ie^rt.

Answer 1

A(t) = 100e^(r*t)

e^r = 1 - 14/100 = 86/100
r lne = ln(86/100)
r = ln(86/100)
r = -0.150823

A(t) = 100e^(-0.150823t)
Let t = 10
A(10) = 100e^(-0.150823*10)
= 22.1305
which is closest to 24.66.

Hope this helps :)