Answer:
Therefore the expression for y when x is 2 is
![y=(48)/(6)* 2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/fy9hc6lh4t22axpfqmhe521sll80ztt80u.png)
Explanation:
Given:
y varies directly as x, and y is 48 when x is 6
Means Direct Variation.
Therefore,
![y=kx](https://img.qammunity.org/2021/formulas/mathematics/middle-school/15ggalazf8cpjag5fv34y8ftpnv14l6oxo.png)
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
![48=k* 6\\\\k=(48)/(6)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/jhv88xyhu0kk9cupcty5y05nlzdeo43mdk.png)
Now When x = 2 and
y will be
![y=(48)/(6)* 2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/fy9hc6lh4t22axpfqmhe521sll80ztt80u.png)
Therefore the expression for y when x is 2 is
![y=(48)/(6)* 2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/fy9hc6lh4t22axpfqmhe521sll80ztt80u.png)