Question

**PLEASE HELP??? ****STUCK ON THIS!!!!

Suppose that f(w) varies inversely with w and f(w) = 0.75 when w= 8.

What is f(w) when w= 2?

A.) 12
B.) 6
C.) 3
D.) 1.5

My answer choice is C.) 3. I'm not very confident in my answer so..... :/

Answer 1

I think you have the right answer already

Answer 2

C.3

Explanation:

We are given that

f(w) varies inversely with w.

f(w)=0.75 when w=8

We have to find the value of f(w) when w=2

According to question

`f(w)\propto(1)/(w)`

`f(w)=(k)/(w)`

Where k=proportionality constant

Substitute the given values then, we get

`0.75=(k)/(8)`

`k=0.75* 8`

`k=6`

Substitute the value of k then, we get

`f(w)=(6)/(w)`

Substitute the value of w=2

Then, we get

`f(w)=(6)/(2)=3`

`f(w)=3`

Hence, option C is true.