sheneher sheneher
  • 10-12-2018
  • Mathematics
contestada

If x varies inversely as y, and x = 11 when y = 15, find x when y = 3.

Respuesta :

jimrgrant1 jimrgrant1
  • 10-12-2018

Answer:

x = 55

Step-by-step explanation:

given x varies inversely as x then the equation relating them is

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

to find k use the given condition x = 11 when y = 3

k = xy = 11 × 15 = 165

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

when y = 3, then

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


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