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Luba_88 [7]
4 years ago
6

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

Mathematics
2 answers:
velikii [3]4 years ago
5 0

Answer: 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 xy=k for some constant k.

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

y=\frac{k}{x}, where k is a constant.

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

x_1=\frac{x}{3}

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

y_1=\frac{k}{x_1}\\\Rightarrow y_1=\frac{k}{\frac{x}{3}}\\\\\Rightarrow y_1=3(\frac{k}{x})\\\\\Rightarrow y_1=3y

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

Juli2301 [7.4K]4 years ago
3 0
9 because it gets tripled
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