Question

11. Suppose that y varies inversely with x. Write a function that models the inverse function.x = 1 when y = 12- 12xOy-y = 12x

Answer 1

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

`y=(1)/(x)`

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:

`y=(12)/(x)`

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

`x=1\Rightarrow y=(12)/(1)\Rightarrow y=12`

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