The correct answer is: y = [tex] \frac{2}{3} [/tex]
Explanation:
The direct relation can be written as follows:
[tex] y \propto x [/tex]
Now to remove the proportional sign, we use the constant of proportionality, let's say k, as follows:
[tex] y = kx [/tex]
When y = 6, x = 72, k will be:
[tex] k =\frac{y}{x} \\ k =\frac{6}{72} = \frac{1}{12} [/tex]
Now we know the value of k, let's find the value of y when x = 8:
[tex] y = kx \\ y =\frac{1}{12} * 8 =\frac{2}{3} [/tex]
Hence the correct answer is: y = [tex] \frac{2}{3} [/tex]
