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]
#Carryonlearning
