KaysinB211279 KaysinB211279
  • 03-11-2022
  • Mathematics
contestada

Write the equation to represent the following relationship. y varies inversely with x. When y = 4, x = 3.

Respuesta :

DelroyN344057 DelroyN344057
  • 03-11-2022

EXPLANATION

The relationship that represents the equation is the following:

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

Plugging in x=3 and y=4 into the equation:

[tex]4=\frac{k}{3}[/tex]

Multiply 3 to both sides:

[tex]3*4=k[/tex]

Multiplying numbers:

[tex]12=k[/tex]

Switching sides:

[tex]k=12[/tex]

Therefore, the equation is the following:

y= 12/x

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