SOLUTION: 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

Question 1200158: 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
i know its direct veration and y=3x
but how?
Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
.


To check the formula, simply substitute value of x from the table into the right side of the formula 
and calculate its value; then compare with the corresponding value of y from the table.


You will see that every time the formula produces a correct value.


It justifies the solution (the formula).



If you want to know how to deduce this formula on your own, 
divide a value of y from the table by the corresponding value of x.


Every time you will get the same value of 3:

     = 3.


It means that  y = 3x  for all given points and that the relationship is this linear function.

Solved, with detailed explanations.

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