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