SOLUTION: Does the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table. x 2 4 8 12 y 4 2 1 2/3

Algebra ->  Graphs -> SOLUTION: Does the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table. x 2 4 8 12 y 4 2 1 2/3      Log On


   

Question 1099729: Does the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table.
x 2 4 8 12
y 4 2 1 2/3
Found 2 solutions by Boreal, josgarithmetic:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
as x gets larger y gets smaller, inverse variation.
y=k/x
use any pair of numbers
4=k/2
k=8
y=k/x
1=8/8 checks
y=8/x is the equation.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
NOT direct nor inverse variation.

Look at the slopes between each pair of data point ordered pair.
They must be CONSTANT, if the points all lie on the same line.
Slopes are system%28-1%2C-1%2F2%2C-1%2F12%29. The data do not represent direct variation.

You expect for inverse variation, y=k%2Fx for some constant k. In your example, you do not have such a constant.