Answer:
3rd option
Step-by-step explanation:
Given z is inversely proportional to (y - 2)² then the equation relating them is
z = [tex]\frac{k}{(y-2)^2}[/tex] ← k is the constant of proportion
To find k use the condition when y = 5, z = 9 , then
9 = [tex]\frac{k}{(5-2)^2}[/tex] = [tex]\frac{k}{3^2}[/tex] = [tex]\frac{k}{9}[/tex] ( multiply both sides by 9 )
81 = k
z = [tex]\frac{81}{(y-2)^2}[/tex] ← equation of proportion
