Question

The value of `y` varies directly with `x`. When `y=35, x=1/2`. What is the value of `y` when `x=2 1/4`?

Answer 1

Here's the explanation.

Explanation:

Given that, `y` varies directly with `x`.
So, `ypropx`.
`:.y=kx`. [`k` is the dimensionless constant of proportionality].

Now, from the initial given values of `x` & `y`:
`y=kx`
`:.35=kxx1/2`.
`:.k=70`.

So, when value of `x` becomes `2(1/4)`, the value of `y` becomes:

`y=kxxx`.
`:.y=70xx9/4`.
`:.y=157.5`. (Answer).

Hope it Helps :)