Question

Y varies inversely with x. When x = 3 then y = 5. Write a function to represent this relationship.

Answer 1

The function to represent this relationship will be:
`y= (15)/(x)`

Explanation:

`y` varies inversely with
`x`. That means......

`y= (k)/(x)..............................(1)`

where
`k` is a proportional constant.

Given that, when
`x=3`, then
`y=5`

Plugging these values into the above equation, we will get.....

`5=(k)/(3)\\ \\ 5(3)=(k)/(3)(3)\\ \\ 15=k`

Now plugging this
`k=15` into equation (1).....

`y= (15)/(x)`

So, the function to represent this relationship will be:
`y= (15)/(x)`