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Show your work.x: 3, 9, 13, 20y: 9, 27, 39, 60State 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.

User Mathe Eliel
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1 Answer

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step 1

Verify if the relationship is a direct variation

The equation of a direct variation is

y=Kx

where

K is a constant of proportionality

K=y/x

For the ordered pair (3,9) --------> k=9/3=3

(9,27) ----------> k=27/9=3

(13,39) ----------> k=39/13=3

(20,60) -----> k=60/20=3

The value of K is the same for all ordered pairs

that means

The relationship represents a direct variation

and the equation is

y=3x

User Jozsef
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