brielle48
brielle48 brielle48
  • 12-03-2021
  • Mathematics
contestada

If x varies inversely as y, and x = 11 when y = 15, find x when y = 3.
11/5
55
33/15

Respuesta :

jimrgrant1 jimrgrant1
  • 12-03-2021

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

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