The concentration of pollutants in a stream is given by $y=.06 e^{-3 x}$, where $y$ is the amount of pollutant in grams per liter and $x$ is the distance, in kilometers, downstream from the source of the pollution. Match each question with one of the solutions A, B, C, or D.
-What is the pollutant level .02 kilometer from the source?
A) Solve $.02=.06 e^{-3 x}$
B) Solve $\frac{1}{2}(.06)=.06 e^{-3 x}$
C) Evaluate $.06 e^{-3(.02)}$
D) Evaluate $.06 e^{-3(1 / 2)}$

Question

Quizplus · Accepted Answer

To find the pollutant level at a specific distance from the source, we substitute the given distance into the equation for $x$ and solve for $y$. Therefore, evaluating $.06 e^{-3(.02)}$ directly applies the given formula with $x = .02$ kilometers.

The Concentration of Pollutants in a Stream Is Given By y=.06