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  • 11-07-2022
  • Mathematics
contestada

Suppose that x and y vary inversely, and x = 12 when y = 8 . Write the function that models the inverse variation.

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edisonlara1212
edisonlara1212 edisonlara1212
  • 11-07-2022

Answer:

[tex]y=\frac{96}{x}[/tex]

Step-by-step explanation:

So when x and y, vary inversely, it means that the product of x and y will remain constant such that: [tex]xy=c[/tex]. This means that the function can be defined as [tex]y=\frac{c}{x}[/tex] by dividing both sides by x. In this case x=12, and y=8, this means the constant is equal to 12 * 8 which is 96. So we have the equation:  [tex]xy = 96[/tex], which can be defined as [tex]y=\frac{96}{x}[/tex]

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