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Point (20, 5) is on the graph of inverse variation. Which of the following ordered pair is on the graph?.

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xero099

The point [tex](10, 10)[/tex] is on the graph.

Procedure - Inverse variation

Inverse variation model

An inverse variation is represented by the following formula:

[tex]y = \frac{k}{x}[/tex] (1)

Where:

  • [tex]x[/tex] - Independent variable.
  • [tex]y[/tex] - Dependent variable.
  • [tex]k[/tex] - Proportionality constant.

We can eliminate the proportionality constant by creating the following relationship:

[tex]x_{1}\cdot y_{1} = x_{2}\cdot y_{2}[/tex] (2)

Determination of another point

If we know that [tex]x_{1} = 20[/tex], [tex]y_{1} = 5[/tex] and [tex]x_{2} = 10[/tex], then the remaining variable is:

[tex]y_{2} = \left(\frac{x_{1}}{x_{2}} \right)\cdot y_{1}[/tex]

[tex]y_{2} = \left(\frac{20}{10} \right)\cdot (5)[/tex]

[tex]y_{2} = 10[/tex]

The point [tex](10, 10)[/tex] is on the graph. (Correct choice: C) [tex]\blacksquare[/tex]

To learn more on inverse variations, we kindly invite to check this verified question: https://brainly.com/question/4838941

Remark

The statement is incomplete. Complete form is described below:

Point [tex](20, 5)[/tex] is on the graph of an inverse variation. Which of the following ordered pair is on the graph? A. [tex](4,1)[/tex], B. [tex](2, 25)[/tex], C. [tex](10, 10)[/tex], D. [tex](16, 4)[/tex].

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