Question

If y varies inversely as x and x=12 as y=5, what is the value of y when x=120?

Answer 1

Inverse proportion: y = k/x

Givens: 5 = k/12. Then k = 60, and so y = 60/x.

Now, if x = 120, y = 60/120 = 1/2 (answer)

Answer 2

y=
`(1)/(2)` or 0.5

Explanation:

We know that
`y=kx`

Where x and y are variables and k is the constant.

Inversely proportion is given by :
`y=(k)/(x)`

Now first we will find the value of 'k'

for x=12 as y=5

`5=(k)/(12)`

`k=60`

Now we have to find what is the value of y when x=120

`y=(60)/(x)`

putting x = 120;

`y=(60)/(120)` =
`(1)/(2)` or 0.5