Question

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

Answer 1

I hope this helps you

Answer 2

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.