Question

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

Answer 1

Answer:

The function to represent this relationship will be:  $y= \frac{15}{x}$

Step-by-step explanation:

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

$y= \frac{k}{x}..............................(1)$  

where $k$ is a proportional constant.

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

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

$5=\frac{k}{3}\\ \\ 5(3)=\frac{k}{3}(3)\\ \\ 15=k$

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

$y= \frac{15}{x}$

So, the function to represent this relationship will be:  $y= \frac{15}{x}$