Increased soul protection by crop residues and plants adding organic matter to the soil through crop rotations manures or crop residues and carful management of fertilizers

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2 years ago

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

Bess [88]

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

<h3>Procedure - Inverse variation</h3><h3 /><h3>Inverse variation model</h3><h3 />

An <em>inverse</em> 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)

<h3>Determination of another point</h3>

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

<h3>Remark</h3>

The statement is incomplete. Complete form is described below:

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

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2 years ago