Question

Observe the table given below and in the case find whether $$x$$ and $$y$$ are inversely proportional:

$$x$$	$$5$$	$$9$$	$$15$$	$$3$$	$$45$$
$$y$$	$$18$$	$$10$$	$$6$$	$$30$$	$$2$$

Answer 1

We have to check if the numbers are inversely proportional

For this, we know that two numbers $$x$$ and $$y$$ are inversely proportional is $$y=\dfrac{1}{x}$$

So, for $$x$$ and $$y$$ to be inversly proportional $$xy=Constant$$

$$6\times 18=90$$
$$9\times 10=90$$
$$15\times 6=90$$
$$3\times 30=90$$

$$45\times 2=90$$

Since the values obtained are equal
$$\therefore x$$ and $$y$$ are inversely proportional.