Do the data in each table represent a direct variation or an inverse​ variation? Write an equation to model the data in the table.

Question

x y

1 0.5

5 2.5

9 4.5

Do the data in each table represent a direct variation or an inverse​ variation?

Write an equation to model the data in the table.

Answer 1

direct variation y = kx [ so k = y/x]

inverse variation y = k/x [ so k = xy ]

k is a constant

so use (1, 0.5) and (5, 2.5) and see if y/x is constant or xy is constant. That will tell you the type of variation.

Then find k, giving you the required equation