Respuesta :

Ashraf82

The value of y is 6 when x is 4

Step-by-step explanation:

If x varies inversely as y, then

  • x = [tex]\frac{k}{y}[/tex] , where k is the constant of variation
  • xy = k, you can find k by using the initial values of x and y
  • [tex]\frac{x_{1}}{x_{2}}=\frac{y_{2}}{y_{1}}[/tex]

∵ x varies inversely as y

∴ x = [tex]\frac{k}{y}[/tex]

∵ When x = 3, y = 8

- Substitute these values in the equation to find k

∴ 3 = [tex]\frac{k}{8}[/tex]

- Multiply both sides by 8

∴ 24 = k

∴ The equation of variation is x = [tex]\frac{24}{y}[/tex]

∵ x = 4

- Substitute the value of x in the equation to find y

∴ 4 = [tex]\frac{24}{y}[/tex]

- Multiply both sides by y

∴ 4y = 24

- Divide both sides by 4

∴ y = 6

The value of y is 6 when x is 4

Learn more:

You can learn more about the direct and inverse variation in brainly.com/question/10708697

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