Drug Administration Differential Equation

Question

A drug is administered intravenously at a constant rate of 8 mg per hour. The drug is eliminated from the bloodstream at a rate proportional to the amount present, with an elimination constant of 0.2 per hour. If $$C(t)$$ represents the amount of the drug, in milligrams, at time $$t$$ hours, which of the following differential equations models this situation?

Accepted Answer

$$\displaystyle\frac{dC}{dt} = 8 - 0.2C$$

Answer

$$\displaystyle\frac{dC}{dt} = -0.2C$$

Answer

$$\displaystyle\frac{dC}{dt} = 8 + 0.2C$$

Answer

$$\displaystyle\frac{dC}{dt} = 8C - 0.2$$

Rank	User	Correct Count	Attempt Count	Total Time	Score
#1	alexandershephard606	1	1	2m 38s	-58
#2	betomora68cali	1	1	7m 57s	-377
#3	npgiahy151108	1	2	8h 59m	-32,297

Drug Administration Differential Equation

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