Question

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

Answer 1

I hope this helps you

Answer 2

The answer is B. 0.05.

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)=(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)=(0.08)/(x)=(0.08)/(1.6)=0.05`

Based on this the answer is B. 0.05.