The function f(x) varies inversely with x and f(x) 0.2 when x= 0.4.

what is f(x) when x= 1.6?

a. 0.40
b. 0.05
c. 0.20
d. 0.08

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):

Having this and using the initial values we can find the value:

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

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

Based on this the answer is B. 0.05.

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