Question

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

y=1/12 x
y=12/x
y=1/12x
y=12x

Answer 1

`y=12/x`

Explanation:

The statement is expressed as `yprop1/x`

To convert to an equation introduce k, the constant of variation.

`rArry=kxx1/x=k/x`

To find k use the condition that x = 1 when y = 12

`y=k/xrArrk=xy=1xx12=12`

`rArry=12/x" is the function"`