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

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 for some constant k.

The equation for inverse variation can be written in the form :-

, where k is a constant.

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

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

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

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

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