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velikii [3]
3 years ago
7

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

Mathematics
2 answers:
bagirrra123 [75]3 years ago
5 0
The output is multiplied by 5....................

Zolol [24]3 years ago
5 0
<h2>Answer: </h2>

The output value will be multiplied by 5.

<u>Step-by-step explanation:</u>

The equation for inverse variation is given by :-

k=yx

OR

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

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

y_1=\frac{k}{\frac{x}{5}}\\\\\Rightarrow y_1=5(\frac{k}{x})\\\\\Rightarrow y_1=5y

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

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Softa [21]

<u><em>Answer:</em></u>

Part a .............> x = 11

Part b .............> k = 57.2

Part c .............> y = 9.2

<u><em>Explanation:</em></u>

The three problems deal with inverse variation between two variables

An inverse variation relation between two variables means that when one of the variables increases, the other will decrease (and vice versa)

<u>Mathematically, an inverse variation relation is represented as follows:</u>

y = \frac{k}{x}

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<u><em>Now, let's check the givens:</em></u>

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We are given that y = 3 and k = 33

<u>Substitute in the original relation and solve for x as follows:</u>

y = \frac{k}{x}\\ \\3 = \frac{33}{x}\\ \\x=\frac{33}{3}=11

<u>Part b:</u>

We are given that y = 11 and x = 5.2

<u>Substitute in the original relation and solve for k as follows:</u>

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<u>Part c:</u>

We are given that x=7.8 and k=72

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Hope this helps :)

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