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meerkat18
The inverse variation between y and x can be expressed as y = k / x where k is the constant of inverse variation. From the given, the equation is,
                                           6 = k / 8 
The value of k is 48. Thus, the final equation is,
                                            y = 48 / x

Answer:

[tex]y= \frac{48}{x}[/tex]

Step-by-step explanation:

Suppose that y varies inversely with x, and y = 6 when x = 8.

y varies inversely with x so the equation is y= k/x

where k is the constant of proportionality

Lets plug in y=6 and x=8 to find out k

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

[tex]6= \frac{k}{8}[/tex]

multiply both sides by 8

48 = k

Now to get the equation of inverse variable plug in k= 48

[tex]y= \frac{48}{x}[/tex]

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