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) = Iert. 24.66 mg 86.94 mg 90.48 mg 405.52 mg

Answer 1

Answer:

24.66 mg of medicine will be left.

Step-by-step explanation:

The given exponential equation is,

$A(t)=ie^{rt}$

Where,

A(t) = amount after time t

i = initial amount = 100 mg

r = rate of change = -14% = -0.14 (-ve is taken because the amount is decreasing)

t = time = 10 hours

Putting the values,

$A(t)=100e^{-0.14\times 10}$

$=100e^{-1.4}$

$=24.66\ mg$