Answer:
The equation that represents inverse variation for the given values of x=6 and y=1/2 is y = 3/x.
Explanation:
Inverse variation is a type of relationship between two variables, in which the product of the variables is constant. The equation that represents inverse variation is:
y = k/x
where y and x are the variables, and k is the constant of proportionality.
To find the equation that represents inverse variation for the given values of x=6 and y=1/2, we can first substitute these values into the equation:
1/2 = k/6
To solve for k, we can multiply both sides by 6:
k = 6 * (1/2)
k = 3
Now that we know the value of k, we can substitute it back into the equation to get the final equation for the inverse variation:
y = 3/x
Therefore, the equation that represents inverse variation for the given values of x=6 and y=1/2 is y = 3/x.