Answer:
y = 9
Step-by-step explanation:
Given that y varies inversely as the square of x then the equation relating them is
y = [tex]\frac{k}{x^{2} }[/tex] ← 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 = [tex]\frac{36}{x^{2} }[/tex] ← equation of variation
When x = 2 then
y = [tex]\frac{36}{2^{2} }[/tex] = [tex]\frac{36}{4}[/tex] = 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!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
