Question

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​

Answer 1

Option D.

Explanation:

An inverse variation function is defined as

`y\propto (1)/(x)`

`y=(k)/(x)`

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

`y_1=(k)/(x_1)`

`y_1=(k)/(4x)`

`y_1=(1)/(4)\cdot (k)/(x)`

`y_1=(1)/(4)y`

The output is divided by 4​.

Therefore, the correct option is D.