Answer:
0.0625
Step-by-step explanation:
If the function f(x) varies inversely with x, then this function is of the form
[tex]f(x)=\dfrac{a}{x},[/tex]
where a is unknown number.
Since f(x)=0.5 when x =0.3, then
[tex]0.5=\dfrac{a}{0.3},\\ \\a=0.5\cdot 0.3=0.15.[/tex]
Therefore, the function is
[tex]f(x)=\dfrac{0.15}{x},[/tex]
Now when x=2.4,
[tex]f(2.4)=\dfrac{0.15}{2.4}=\dfrac{15}{240}=\dfrac{1}{16}=0.0625.[/tex]
