Question

Suppose y varies directly with x. If y = 3 when x = 2, find y when x = 3.
9/2 2-3 3/2 2/9

Answer 1

y=9/2

Explanation:

As, y varies directly with x .

so, x & y must be proportional to each other.

so,

3/2=y/3

y=(3.3)/2

y=9/2

Answer 2

First option:
`(9)/(2)`

Explanation:

A Direct variation equation has this form:

`y=kx`

Where "k" is the constant of variation.

In this case, to find "k", we need to subsitute
`y = 3` and
`x = 2` into the equation
`y=kx` and solve for "k":

`3=k(2)\\\\k=(3)/(2)`

Now, in order to find the value of "y" when
`x = 3`, we need to substitute this value and the value of "k" into the equation
`y=kx`. Then:

`y=(3)/(2)(3)\\\\y=(9)/(2)`