State whether the relationship between the variables in the table is a direct variation, an inverse variation, or neither. If it is a direct or inverse variation, write a function to model it.
x
3
9
13
20
y
9
27
39
60
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OpenStudy (qwertty123):
check : if the product xy is constant for all pairs of x,y then the variation is inverse,
but if the ratio y/x is constant for all pairs of x,y then the variation is direct.
OpenStudy (anonymous):
huh?
OpenStudy (anonymous):
its direct
OpenStudy (qwertty123):
This is a direct variation, because as x increases, so does y.
In other words both increase in the same direction, namely up.
y = 3x
OpenStudy (anonymous):
y/x = 9/3 = 3
y/x = 27/9 =3
y/x = 39/13 =3 ?
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OpenStudy (qwertty123):
YEAH
You forgot the variable though!
OpenStudy (anonymous):
3x?
OpenStudy (anonymous):
9=k *3
---> k=3
so, y=3x :)?
OpenStudy (qwertty123):
YEAH! :D
OpenStudy (anonymous):
woohoo!
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