Question

NEED HELP ASAP

A medication has a half-life of 4 hours after it enters the bloodstream. A nurse administers a dose of 500 milligrams to a patient at noon.





Only answer if you know pls!!

Find the amount of medication, in milligrams (mg), remaining in the patient's body at: (Round to the nearest 10th)

a. 3 p.m. on the same day:

b. 8 p.m. on the same day:


2. The expression 500 x (1/2)^5/4 represents the amount of medicine in the body sometime after it is administered. What is that time? (Make sure to signify am or pm)

Answer 1

mg remaining = (initial amount in mg) (1/2^(t/h)) where h = half-life

1.

a.
mg remaining = (500) (1/2^(3/4)
= 297.3 mg
b.
mg remaining = (500)(1/2^(8/4))
= 125 mg
2.
5 represents the time elapsed from when the medication entered the bloodstream. Assuming the medication was given at noon, add 5 hours to have 5:00 pm.

Good luck! I need sleep. XD