Question

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

(x) 1 l 2 l 5 l 10
(y) 40 l 20 l 8 l 4
A: Direct Variation; y= 40x
B: Inverse Variation; y= 1/40x
C: Direct Variation; xy= 40
D: Inverse Variation; xy= 1/40

Answer 1

we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx
and
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form y*x=k or y=k/x

the answer is
represent an inverse variation
k=40

x*y=40

see the attached figure