Answer:
C.3
Step-by-step explanation:
We are given that
f(w) varies inversely with w.
f(w)=0.75 when w=8
We have to find the value of f(w) when w=2
According to question
\(f(w)\propto\frac{1}{w}\)
\(f(w)=\frac{k}{w}\)
Where k=proportionality constant
Substitute the given values then, we get
\(0.75=\frac{k}{8}\)
\(k=0.75\times 8\)
\(k=6\)
Substitute the value of k then, we get
\(f(w)=\frac{6}{w}\)
Substitute the value of w=2
Then, we get
\(f(w)=\frac{6}{2}=3\)
\(f(w)=3\)
Hence, option C is true.
