The point [tex](10, 10)[/tex] is on the graph.
An inverse variation is represented by the following formula:
[tex]y = \frac{k}{x}[/tex] (1)
Where:
We can eliminate the proportionality constant by creating the following relationship:
[tex]x_{1}\cdot y_{1} = x_{2}\cdot y_{2}[/tex] (2)
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
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].
