Question

in the inverse variation function, what happens to the output when the function's input value is divided by 3?

Answer 1

9 because it gets tripled

Answer 2

Answer: The function's output value will get multiplied by 3

Explanation:

Two variables x (input value) and y (output value) are said to be in inverse variation if
`xy=k` for some constant k.

The equation for inverse variation can be written in the form :-

`y=(k)/(x)`, where k is a constant.

When the function's input value is divided by 3, then the new input value would be

`x_1=(x)/(3)`

Now, the equation to find the new output value corresponding to new input value would be

`y_1=(k)/(x_1)\\\Rightarrow y_1=(k)/((x)/(3))\\\\\Rightarrow y_1=3((k)/(x))\\\\\Rightarrow y_1=3y`

Hence, When the function's input value is divided by 3, then the function's output value will get multiplied by 3.