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

Answer:

y=9/2

Step-by-step 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

Answer:

First option: $\frac{9}{2}$

Step-by-step 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":

$3=k(2)\\\\k=\frac{3}{2}$

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:

$y=\frac{3}{2}(3)\\\\y=\frac{9}{2}$