Question

The pair of points (3, 8) and (x, 6) are on the graph of an inverse variation. What is the missing value?

Answer 1

To find the missing value, we can use the inverse variation equation, which is in the form of y = k/x, where k is the constant of variation.

Using the points (3, 8) on the graph, we can plug in the values into the equation:
8 = k/3

Solving for k:
k = 3 * 8
k = 24

Now that we have the constant of variation k, we can find the missing value by plugging it into the equation with the second point (x, 6):
6 = 24/x

Solving for x:
x = 24/6
x = 4

Therefore, the missing value is x = 4.