If y varies inversely as the square of x and y equals 4 when x equals 3 find y when x is 2

y = 9

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 = 4 when x = 3

k = yx² = 4 × 3² = 4 × 9 = 36, thus

y = ← equation of variation

When x = 2 then

y = = = 9

➷ The equation is:

y = k/x^2

Input the numbers:

4 = k/(3)^2

k = 4 x (3)^2

k = 36

y = 36/(2)^2

y = 9

➶ Hope This Helps You!

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↬ ʜᴀɴɴᴀʜ ♡

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value