APFIVE Drug Administration Differential Equation
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?
A
$$\displaystyle\frac{dC}{dt} = -0.2C$$
B
$$\displaystyle\frac{dC}{dt} = 8C - 0.2$$
C
$$\displaystyle\frac{dC}{dt} = 8 - 0.2C$$
D
$$\displaystyle\frac{dC}{dt} = 8 + 0.2C$$
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