Question

Suppose that x and y vary inversely, and x = 12 when y = 8 . Write the function that models the inverse variation.

Answer 1

`y=(96)/(x)`

Explanation:

So when x and y, vary inversely, it means that the product of x and y will remain constant such that:
`xy=c`. This means that the function can be defined as
`y=(c)/(x)` by dividing both sides by x. In this case x=12, and y=8, this means the constant is equal to 12 * 8 which is 96. So we have the equation:
`xy = 96`, which can be defined as
`y=(96)/(x)`