Question

is the relationship between the variables in this table a direct variation, an inverse variation or neither. if it is a direct or inverse variation, write a function to model it. x: 2, 4, 6, 8 y: 1/3, 1/6, 1/9, 1/12

Answer 1

For this case we have that the relationship is inverse.
Therefore, we have a function of the form:

`y = (k)/(x)`
We must find the value of k.
For this, we use any ordered pair, such as:

`(x, y) = (2, 1/3)`
Substituting values:

`(1)/(3) = (k)/(2)`
Clearing k we have:

`k = (2)/(3)`
Then, the function is:

`y = (2)/(3x)`
Answer:
The relationship between the variables in this table is an inverse variation.
A function to model is:

`y = (2)/(3x)`