Will mark
do the data in the table represent a direct variation or an inverse variation? write an equation to model the data in the table.

a. inverse variation; y/x = 8
b. direct variation; y = 8x
c. direct variation; y = 8/x
d. inverse variation; xy = 8

D

Step-by-step explanation:

For direct variation the equation relating x and y is

y = kx, that is

k =

Using the values in the table

= 2

=

k is not constant hence not direct variation

For inverse variation the equation relating x and y is

y = , that is

k = xy

Using the values in the table

2 × 4 = 8

4 × 2 = 8

8 × 1 = 8

12 × = 8

Thus the table represents inverse variation with xy = 8