Answer:
The answer is B. 0.05.
Step-by-step explanation:
To solve this problem we have that the equation varies inversely with x, so we can suppose that the equation have this form (because when x is higher f(x) will be lower):
[tex]f(x)=\frac{a}{x}[/tex]
Having this and using the initial values we can find the [tex]a[/tex] value:
[tex]f(x)=0.2\\x=0.4\\[/tex]
Replacing this values in the initial equation and clearing it, we have:
[tex]a=0.2*0.4=0.08[/tex]
knowing that a is 0.08 we can use the new x value to find the new f(x), this is:
[tex]f(x)=\frac{0.08}{x}=\frac{0.08}{1.6}=0.05[/tex]
Based on this the answer is B. 0.05.
