Answer:
Therefore the expression for y when x is 2 is
[tex]y=\dfrac{48}{6}\times 2[/tex]
Step-by-step explanation:
Given:
y varies directly as x, and y is 48 when x is 6
Means Direct Variation.
Therefore,
[tex]y=kx[/tex]
Where,
k = Constant of Proportionality
To Find:
y when x = 2
Solution:
First step we need to Find Constant of Proportionality
So put y = 48 and x = 6
Substituting the values we get
[tex]48=k\times 6\\\\k=\dfrac{48}{6}[/tex]
Now When x = 2 and [tex]k=\dfrac{48}{6}[/tex] y will be
[tex]y=\dfrac{48}{6}\times 2[/tex]
Therefore the expression for y when x is 2 is
[tex]y=\dfrac{48}{6}\times 2[/tex]
