Respuesta :

Answer:

y = [tex]\frac{9}{x^2}[/tex]

Step-by-step explanation:

Given y is inversely proportional to x² then the equation relating them is

y = [tex]\frac{k}{x^2}[/tex] ← k is the constant of proportion

To find k use an ordered pair from the table

Using x = 3 when y = 1 , then

1 = [tex]\frac{k}{3^2}[/tex] = [tex]\frac{k}{9}[/tex] ( multiply both sides by 9 )

9 = k

y = [tex]\frac{9}{x^2}[/tex] ← equation of proportion