If y varies inversely as the square of x, and y=2 when x=4, find y when x=4

y = 2

Step-by-step explanation:

Given that y varies inversely as the square of x then the equation relating them is

y = ← k is the constant of variation

To find k use the condition y = 2 when x = 4

k = yx² = 2 × 4² = 2 × 16 = 32, thus

y = ← equation of variation

When x = 4, then

y = = = 2

step-by-step explanation: