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gomezmjosemiguel

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):

\(f(x)=\frac{a}{x}\)

Having this and using the initial values we can find the \(a\) value:

\(f(x)=0.2\\x=0.4\\\)

Replacing this values in the initial equation and clearing it, we have:

\(a=0.2*0.4=0.08\)

knowing that a is 0.08 we can use the new x value to find the new f(x), this is:

\(f(x)=\frac{0.08}{x}=\frac{0.08}{1.6}=0.05\)

Based on this the answer is B. 0.05.

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