GardeniaA772139 GardeniaA772139
  • 30-10-2022
  • Mathematics
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Which of the following equations is an example of inverse variation between the variables x and y?A.B.y = x + 9C.D.y = 9x

Which of the following equations is an example of inverse variation between the variables x and yABy x 9CDy 9x class=

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ElajahI246314 ElajahI246314
  • 30-10-2022

SOLUTION

For an inverse variation, we have that y is inversely proportional to x, written as

[tex]\begin{gathered} y\propto\frac{1}{x} \\ \propto\text{ is a proportionality sign} \end{gathered}[/tex]

removing the proportionality sign and introducing a constant k, we have that

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

so, if k is 9,

The answer becomes

[tex]y=\frac{9}{x}[/tex]

Option A is the answer

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