Question

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

Answer 1

The point $(10, 10)$ is on the graph.

Procedure - Inverse variation

Inverse variation model

An inverse variation is represented by the following formula:

$y = \frac{k}{x}$ (1)

Where:

• $x$ - Independent variable.
• $y$ - Dependent variable.
• $k$ - Proportionality constant.

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

$x_{1}\cdot y_{1} = x_{2}\cdot y_{2}$ (2)

Determination of another point

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

$y_{2} = \left(\frac{x_{1}}{x_{2}} \right)\cdot y_{1}$

$y_{2} = \left(\frac{20}{10} \right)\cdot (5)$

$y_{2} = 10$

The point $(10, 10)$ is on the graph. (Correct choice: C) $\blacksquare$

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

Remark

The statement is incomplete. Complete form is described below:

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