In the inverse variation function, what happens to the output when the
function's input value is multiplied by 4?
O A. The output is divided by 2.
OB. The output is multiplied by 4
O C. The output is negated
O D. The output is divided by 4​

Respuesta :

Answer:

Option D.

Step-by-step explanation:

An inverse variation function is defined as

[tex]y\propto \dfrac{1}{x}[/tex]

[tex]y=\dfrac{k}{x}[/tex]

where, k is constant of proportionality.

In the above equation x represents input and y represents output.

If the function's input value is multiplied by 4, then

[tex]y_1=\dfrac{k}{x_1}[/tex]

[tex]y_1=\dfrac{k}{4x}[/tex]

[tex]y_1=\dfrac{1}{4}\cdot \dfrac{k}{x}[/tex]

[tex]y_1=\dfrac{1}{4}y[/tex]

The output is divided by 4​.

Therefore, the correct option is D.