Respuesta :

Answer:

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

Step-by-step explanation:

Given that y varies inversely with x then the equation relating them is

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

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

4 = [tex]\frac{k}{6}[/tex] ( multiply both sides by 6 )

24 = k

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