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A Water Tank Has Been Contaminated with Salt and Must y=.1+3.02e.4ty=.1+3.02 e^{-.4 t}

Question 71

Multiple Choice

A water tank has been contaminated with salt and must be flushed with pure water. The concentration of salt in the tank is given by the equation y=.1+3.02e.4ty=.1+3.02 e^{-.4 t} , where yy is the concentration of salt in milligrams per gallon and tt is the time, in hours, since flushing began. Match each question with one of the solutions A,B,C\mathrm{A}, \mathrm{B}, \mathrm{C} , or D\mathrm{D} .
-How long will it take for the concentration to reach half its initial value?


A) Evaluate .1+3.02e.4(1/2) .1+3.02 e^{-.4(1 / 2) }
B) Solve 12(3.12) =.1+3.02e.4t\frac{1}{2}(3.12) =.1+3.02 e^{-.4 t}
C) Evaluate .1+3.02e.4(2) .1+3.02 e^{-.4(2) }
D) Solve 2=.1+3.02e.4t2=.1+3.02 e^{-.4 t}

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