labundalacaca707 labundalacaca707
  • 02-02-2024
  • Mathematics
contestada

suppose y varies directly as x. if x=7 when y=21, find x when y=30

Respuesta :

devishri1977
devishri1977 devishri1977
  • 02-02-2024

Answer:

x = 10

Step-by-step explanation:

Direct variation:

 In direct variation, if one variable increase or decrease, the other variable also increases or decrease in the same way.

 [tex]\sf \dfrac{x}{y}=k\\\\\\x = ky[/tex]

When x = 7 & y = 21, k will be,

       [tex]\sf k = \dfrac{x}{y}\\\\\\ = \dfrac{7}{21}\\\\k = \dfrac{1}{3}[/tex]

Now, we have to find the value of x, when y = 30

         [tex]\sf x = 30*\dfrac{1}{3}\\\\\\x = 10[/tex]

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