we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form [tex](y/x)=k\ or\ y=kx[/tex]
in this problem we have
[tex]y = 2.52\ when\ x = 8.4[/tex]
so
Find the value of the constant k
[tex](y/x)=k[/tex]
substitute
[tex]k=(2.52/8.4)[/tex]
[tex]k=0.3[/tex]
the equation is equal to
[tex]y=0.3x[/tex]
Find the value of y when [tex]x=2.7[/tex]
substitute the value of x in the equation
[tex]y=0.3*2.7[/tex]
[tex]y=0.81[/tex]
therefore
the answer is
[tex]0.81[/tex]
