Based on the half-life of the drug, the amount remaining at 6 am is 218.75 mg.
The half-life of a substance is the the time taken for half the initial amount of that substance to decompose or decay.
The half-life of a substance follows a decay constant.
Considering the given drug:
The half-life of the drug is 6 hours meaning that after every 6 hours, half the initial amount will remain.
The patient received 250mg of a drug at noon, 6 pm, and midnight.
Amount remaining at 6 am the next day is determined as follows:
Initial amount at Noon = 250 mg
Amount at 6 pm = 250/2 + 250 = 375 mg
Amount remaining at 12 am = 375/2 + 250 = 437.5 mg
Amount remaining at 6 am = 437.5/2
Amount remaining at 6 am = 218.75 mg
In conclusion, the half-life tells how long the drug will remain in the body of the patient.
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