Environmental scientists observe that the concentration (in mg/L) of a pollutant in a…

MATHEMATICS · Single correct · AP · Calculus AB · Differential Equations · Differential Equations

Problem

Environmental scientists observe that the concentration C(t)C(t) (in mg/L) of a pollutant in a lake decreases at a rate proportional to the square of the current concentration. Which differential equation best models this process, where kk is a positive constant? (a) dCdt=kC2\dfrac{dC}{dt}=kC^{2} (b) dCdt=−kC2\dfrac{dC}{dt}=-kC^{2} (c) dCdt=−kC\dfrac{dC}{dt}=-kC (d) dCdt=−k2C2\dfrac{dC}{dt}=-\dfrac{k}{2}C^{2}

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