y = 1/3 when x = 9
Step-by-step explanation:
Inverse proportion means that the increase in one variable causes decrease in other variable and decrease in one variable causes increase in other variable
If y varies inversely with x, then it can be written as:
y ∝1/x
When the proportionality symbol is removed, a proportionality constant is introduced
y = k/x
Putting y = 1 and x = 3
[tex]1 = \frac{k}{3}\\k = 3*1\\k = 3[/tex]
So,
[tex]y = \frac{3}{x}[/tex]
Putting x=9
[tex]y = \frac{3}{9}\\\\y = \frac{1}{3}[/tex]
So,
y = 1/3 when x = 9
Keywords: Proportion, inverse proportion
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