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30 POINTSSSSSS If y varies directly as x, and y = 42 as x = 6, find y for the x-value 3

Sagot :

[tex]\\ \sf\longmapsto x\propto y[/tex]

[tex]\\ \sf\longmapsto x_1y_2=x_2y_1[/tex]

[tex]\\ \sf\longmapsto 6y_2=42(3)[/tex]

[tex]\\ \sf\longmapsto 6y_2=126[/tex]

[tex]\\ \sf\longmapsto y_2=\dfrac{126}{6}[/tex]

[tex]\\ \sf\longmapsto y_2=21[/tex]

mhanifa

Answer:

  • y = 7x
  • y = 21

Step-by-step explanation:

Direct variation formula:

  • y = kx

Given:

  • x = 6, y = 42

Find k:

  • 42 = 6k
  • k = 42/6
  • k = 7

The equation of line is:

  • y = 7x

Now, when x = 3, the value of y is:

  • y = 7*3 = 21
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