The amount of particulate matter left in solution during a filtering process is given by the equation $P = 700 ( 2 ) ^ { - 0.8 n }$, where $\mathrm { n }$ is the number of filtering steps. Find the amounts left for $\mathrm { n } = 0$ and $\mathrm { n } = 5$. (Round to the nearest whole number.)
A) 1400, 44
B) 700, 22
C) 700, 44
D) 700, 11,200

Question

Quizplus · Accepted Answer

For $n = 0$, $P = 700(2)^{-0.8(0)} = 700(1) = 700$. For $n = 5$, $P = 700(2)^{-0.8(5)} \approx 700(0.0625) \approx 44$.

The Amount of Particulate Matter Left in Solution During a Filtering