If y varies inversely as the square root of x and y = 4 when x = 9, find y when x = 16

Explanation

Step 1: Write inverse variation equation
y varies inversely as √x means: y = k/√x
where k is constant of variation

Step 2: Find constant k
Given: y = 4 when x = 9
4 = k/√9
4 = k/3
k = 12

Step 3: Write complete equation
y = 12/√x

Step 4: Find y when x = 16
y = 12/√16
y = 12/4
y = 3