Question

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

Answer 1

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

Step-by-step 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 :-

$y=\frac{k}{x}$, where k is a constant.

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

$x_1=\frac{x}{3}$

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

$y_1=\frac{k}{x_1}\\\Rightarrow y_1=\frac{k}{\frac{x}{3}}\\\\\Rightarrow y_1=3(\frac{k}{x})\\\\\Rightarrow y_1=3y$

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

Answer 2

9 because it gets tripled