Question

If y varies inversely with x and x=50 when y=10, which of the following

equations represents this relationship?
Select one:
y=500/x
O
y=x/50
O
y=x/500
O
y=x/10

Answer 1

`y=(500)/(x)`

Explanation:

Given:

'y' varies inversely with 'x'.

When
`x=50,y=10`

An inversely proportional relationship is of the form:

`y=(k)/(x)\\\\Where,k\to constant`

Now, in order to get the equation for the given inverse relationship, we need to find the value of the constant 'k'.

So, we plug in the given values of 'x' and 'y' in the above equation and solve for 'k'. This gives,

`10=(k)/(50)\\\\Multiplying\ both\ sides\ by\ 50,\ we\ get:\\\\10* 50=k\\\\k=500`

Therefore, the equation becomes:

`y=(500)/(x)`

Hence, the first option is the correct answer.