Solve the problem.
-The amount of particulate matter left in solution during a filtering process decreases by the equation $P ( n ) = 600 ( 0.5 ) ^ { 0.8 n }$, where $n$ is the number of filtering steps. Find the amounts left for $n = 0$ and $n = 5$. (Round to the nearest whole number.)
A) $1200 ; 38$
B) $600 ; 19$
C) $600 ; 9600$
D) $600 ; 38$

Question

Quizplus · Accepted Answer

For $n = 0$, $P(0) = 600(0.5)^{0.8(0)} = 600(1) = 600$. For $n = 5$, $P(5) = 600(0.5)^{0.8(5)} \approx 600(0.5)^4 \approx 600(0.0625) \approx 37.5$, which rounds to 38.

Solve the Problem P(n)=600(0.5)0.8nP ( n ) = 600 ( 0.5 ) ^ { 0.8 n }P(n)=600(0.5)0.8n

Solve the Problem $P ( n ) = 600 ( 0.5 ) ^ { 0.8 n }$