In the inverse variation function, what happens to the output when the function's input value is divided by 5?
The output value will be multiplied by 5.
Step-by-step explanation:
The equation for inverse variation is given by :-
\(k=yx\)
OR
\(y=\frac{k}{x}\), where x is representing input values and y representing output values.
If input value is divided by 5 (i.e.\(x_1=\frac{x}{5}\)), then the above equation will be
\(y_1=\frac{k}{\frac{x}{5}}\\\\\Rightarrow y_1=5(\frac{k}{x})\\\\\Rightarrow y_1=5y\)
Thus, when the function's input value is divided by 5 then the output value will be multiplied by 5.