Question

10. Do 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

Answer 1

as y decreases x increases so its an inverse variation.

y = k / x

when x = 2 y = 4

4 = k/2 so k = 8

the required equation is y = 8 / x

Check for the 2 last values:-

2 /3 = 8 /12 = 2/3 which checks out