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