KeeleyI416814 KeeleyI416814
  • 25-10-2022
  • Mathematics
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11. Suppose that y varies inversely with x. Write a function that models the inverse function.x = 1 when y = 12- 12xOy-y = 12x

11 Suppose that y varies inversely with x Write a function that models the inverse functionx 1 when y 12 12xOyy 12x class=

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AdylynnE21064 AdylynnE21064
  • 25-10-2022

We need to remember that when two variables are in an inverse relationship, we have that, for example:

[tex]y=\frac{1}{x}[/tex]

In this case, we have an inverse relationship, and we have that when x = 1, y = 12.

Therefore, we have that the correct relationship is:

[tex]y=\frac{12}{x}[/tex]

In this relationship, if we have that x = 1, then, we have that y = 12:

[tex]x=1\Rightarrow y=\frac{12}{1}\Rightarrow y=12[/tex]

Therefore, the correct option is the second option: y = 12/x.

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