Answered

Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

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

Sagot :

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].

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.