The concentration of a drug in blood is measured in as a function of time in minutes

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

The concentration

C

of a drug in blood is measured in

\text{mg}\,\text{L}^{-1}

as a function of time

t

in minutes. What are the correct units of

\displaystyle \frac{dC}{dt}

? (a)

\text{mg}\,\text{L}^{-1}\,\text{min}

(b)

\text{mg}\,\text{L}^{-1}\,\text{min}^{-1}

(c)

\text{mg}\,\text{min}^{-1}

(d)

(\text{mg}\,\text{L})^{-1}\,\text{min}^{-1}