Answer: The required value of x is 28.
Step-by-step explanation: Given that y = 6 when x = 24.
We are to find the value of x when y = 7.
Since x and y are directly related, so we have
[tex]x\propto y\\\\\Rightarrow x=ky~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{where k is the constant of proportionality}].[/tex]
When y = 6 and x = 24, we get
[tex]24=k\times6\\\\\Rightarrow k=\dfrac{24}{6}\\\\\Rightarrow k=4.[/tex]
Therefore, when y = 7, we get
[tex]x=7\times4=28.[/tex]
Thus, the required value of x is 28.