Question

The function f(x) varies inversely with x and f(x)=0.5 when x =0.3. what is f(x) when x=2.4?

Answer 1

0.0625

Explanation:

If the function f(x) varies inversely with x, then this function is of the form

`f(x)=(a)/(x),`

where a is unknown number.

Since f(x)=0.5 when x =0.3, then

`0.5=(a)/(0.3),\\ \\a=0.5\cdot 0.3=0.15.`

Therefore, the function is

`f(x)=(0.15)/(x),`

Now when x=2.4,

`f(2.4)=(0.15)/(2.4)=(15)/(240)=(1)/(16)=0.0625.`