For the function $f$, $f(0) = 200$ and $f(x)$ decreases by 50% for each increase of $x$ by 1. What is $f(3)$?
A$25$
B$50$
C$100$
D$150$
Answer & Solution
Correct answer: A. $25$
The decay rate is 50%, so $b = 1 - 0.50 = 0.5$. Therefore $f(x) = 200(0.5)^x$. $f(3) = 200(0.5)^3 = 200(0.125) = 25$.
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