Question

Given Y varies inversely as X right and graph the inverse variation function Y =8 when x=4

Answer 1

So,

The inverse variation can be described with the expression:

`y=(k)/(x)`

Where k is a constant.

To graph this function, we need to find the value of k first. We can do this replacing the ordered pair x=4 and y=8.

This is:

`8=(k)/(4)\to k=32`

Now that we know that k=32, the inverse variation function will be:

`y=(32)/(x)`

Now, let's graph it: