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
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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(52784) (Show Source):
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.
