Given data:
The first value of x is x=2/3.
The first value of y is y=6.
The expression y is directlly proportional to x is,
y=kx
Substitute 2/3 for x and 6 for y in the above expression.
[tex]\begin{gathered} 6=\frac{2}{3}k \\ k=9 \end{gathered}[/tex]
The expression becomes y=9x
Substitute 10 1/3 for x in the above expression.
[tex]\begin{gathered} y=9(10\frac{1}{3}) \\ =9(\frac{31}{3}) \\ =93 \end{gathered}[/tex]
Thus, the value of y is 93.
