contestada

In the inverse variation function, what happens to the output when the function's input value is divided by 5?

Respuesta :

the output is multiplied by 5....................

Answer:

The output value will be multiplied by 5.

Step-by-step explanation:

The equation for inverse variation is given by :-

[tex]k=yx[/tex]

OR

[tex]y=\frac{k}{x}[/tex], where x is representing input values and y representing output values.

If input value is divided by 5 (i.e.[tex]x_1=\frac{x}{5}[/tex]), then the above equation will be

[tex]y_1=\frac{k}{\frac{x}{5}}\\\\\Rightarrow y_1=5(\frac{k}{x})\\\\\Rightarrow y_1=5y[/tex]

Thus, when the function's input value is divided by 5 then the output value will be multiplied by 5.