Respuesta :

Answer:

y = - [tex]\frac{24}{x}[/tex]

Step-by-step explanation:

Given that the quantities vary inversely then the equation relating them is

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

To find k use the condition x = 4 when y = - 6

k = yx = - 6 × 4 = - 24

y = - [tex]\frac{24}{x}[/tex] ← equation of variation