Verified Answer :

x÷y=72÷6=12    8÷12=2/3 y would equal 2/3

The correct answer is: y = \(\frac{2}{3}\)

Explanation:

The direct relation can be written as follows:

\(y \propto x\)

Now to remove the proportional sign, we use the constant of proportionality, let's say k, as follows:

\(y = kx\)

When y = 6, x = 72, k will be:

\(k =\frac{y}{x} \\ k =\frac{6}{72} = \frac{1}{12}\)


Now we know the value of k, let's find the value of y when x = 8:

\(y = kx \\ y =\frac{1}{12} * 8 =\frac{2}{3}\)

Hence the correct answer is: y = \(\frac{2}{3}\)