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what are the different kinds of variation?​

Sagot :

Answer:

   "What are the different kinds of variation?​"

-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-

1. Direct variation

  • It is a relationship between two variables, x, and y, that can be written as y = kx where k ≠ 0.
  • It means that as x increase, y increase, and as x decreases, y decreases.

                                                          y = kx

                                            “y varies directly as x”

                                      “y is directly proportional to x”

                                            “y is proportional to x”

*k represents the constant of variation (which relates the two variables)

  • For finding the constant (k):

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

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2. Inverse variation

  • It is a  relationship between two variables, x, and y, that can be written as [tex]y=\frac{k}{x}[/tex] where k ≠ 0.
  • For two quantities with inverse variation, as one quantity increases, the other quantity decreases.

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

                                            “y varies inversely as x”

                                     “y is inversely proportional to x”

*k represents the constant of variation (which relates the two variables)

  • For finding the constant (k):

                                                           [tex]k=xy[/tex]

-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-

3. Joint Variation

                                                          [tex]y=kxz[/tex]

                                           “y varies jointly as x and z”

  • For finding the constant (k):

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

-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-

4. Combined Variation

  • It is a  combination of direct and inverse variation.
  • The statement “ y varies directly as x and inversely as z” means [tex]y=\frac{kx}{z}[/tex],  where k is the constant of variation.

                                                            [tex]y=\frac{kx}{z}[/tex]

                               “y varies directly as x and  inversely as z”

  • For finding the constant (k):

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

-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-o-

I hope it helps :).

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