Question

X is inversely proportional to the square root of y

Answer 1

Answer: 4

Step-by-step explanation:

The formula for inverse proportion is x = k / y. Since x is inversely proportional to the square root of y. This will be:

x = k / ✓y

When x = 12, y = 9

We have to calculate the constant of proportionality, k which will be:

12 = k / ✓9

12 = k / 3

k = 12 × 3

k = 36

To find the value of x when y = 81 will be:

x = k / ✓y

x = 36 / ✓81

x = 36 / 9

x = 4

Therefore, x = 4 when y = 81.