Answer: The required value of y is -222.
Step-by-step explanation: We are given that y = -252 when x = 84.
We are to find the value of y when x = 74.
Since y and x are directly related, so we have
[tex]y\propto x\\\\\Rightarrow y=kx,~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{where k is the constant of proportionaliy}][/tex]
When y = -252 and x = 84, we get
[tex]-252=84k\\\\\Rightarrow k=-\dfrac{252}{84}\\\\\Rightarrow k=-3.[/tex]
So,
[tex]y=-3x.[/tex]
Now, when x = 74, then the value of y is given by
[tex]y=-3\times74=-222.[/tex]
Thus, the required value of y is -222.