Respuesta :

Answer:

x = 55

Step-by-step explanation:

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

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

To find k use the condition x = 11 when y = 15

11= [tex]\frac{k}{15}[/tex] ( multiply both sides by 15 )

165 = k

x = [tex]\frac{165}{y}[/tex] ← equation of variation

When y = 3 , then

x = [tex]\frac{165}{3}[/tex] = 55