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.
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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)
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.