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if x varies directly as y and x = 27 when y = 9 find x when y = 2





*with solution Po Sana
salamat!​

Sagot :

Answer:

6

Step-by-step explanation:

The statement varies directly as denotes a relationship of x = ky where k is a constant

Plugging in our initial statement values of x = 27 when y = 9, we get:

[tex]27 = 9k[/tex]

Divide each side by 9 to solve for k:

[tex]\frac{27}{9}= \frac{9k}{9}[/tex]

[tex]k=3[/tex]

Solve the second part of the variation equation:

Because we have found our relationship constant k = 3, we form our new variation equation:

[tex]x = 3y[/tex]

Since we were given that y = 2, we have

[tex]x=3(2)[/tex]

[tex]\huge{\boxed{x=6}[/tex]

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