Respuesta :
Suppose y varies inversely with x and that y=2 when x=8 What is an equation for this inverse variation?
B. y= 2/8x
The equation for the inverse variation is [tex]\frac{16}{x}[/tex].
What is Inverse Variation?
'Inverse variation is the relationship between variables that states that if the value of one quantity increases, then the value of the other quantity decreases.'
According to the given problem,
For inverse variation, the equation should be in the form of,
y = [tex]\frac{1}{x}[/tex]
In the equation, as the value of y increases, the value of x will decrease and vice versa.
For Equation D,
y = [tex]\frac{16}{x}[/tex]
For x = 8,
⇒ y = [tex]\frac{16}{8}[/tex]
⇒ y = 2
Hence, we can conclude, the equation of the inverse variation is y = [tex]\frac{16}{x}[/tex].
Learn more about Inverse Variation here: https://brainly.com/question/23476650
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