The y = 6 .
The image shows that y is proportional to the square root of x, which means that y can be expressed as a constant multiple of the square root of x.
y is inversely proportional to the square root of x.
This means that if x increases, y will decrease, and vice versa.
The constant of proportionality is the product of y and the square root of x.
We are given that y = 3 when x = 36.
Let's plug these values into the equation to find the constant of proportionality:
k = y * sqrt(x) = 3 * sqrt(36) = 3 * 6 = 18
Now we can use this value of k to find y when x = 9:
y = k / sqrt(x) = 18 / sqrt(9) = 18 / 3 = 6
Therefore, when x = 9, y = 6.