autumnhayes42004 autumnhayes42004
  • 06-01-2019
  • Mathematics
contestada

y varies directly as x and y = 9 when x = 72

Respuesta :

jimrgrant1 jimrgrant1
  • 06-01-2019

Answer:

y = [tex]\frac{x}{8}[/tex]

Step-by-step explanation:

since y varies directly as x, then the equation relating them is

y = kx ← k is the constant of variation

to find k use the given condition y = 9 when x = 72

k = [tex]\frac{9}{x}[/tex] = [tex]\frac{9}{72}[/tex] = [tex]\frac{1}{8}[/tex], hence

y = [tex]\frac{1}{8}[/tex] × x = [tex]\frac{x}{8}[/tex]


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