Question

Which explains whether or not the values in the table represent a direct variation?

x
4
6
10
20
y
1
1.5
2.5
5
The table represents a direct variation because the values are proportional.
The table represents a direct variation because the values are nonproportional.
The table does not represent a direct variation because the values are proportional.
The table does not represent a direct variation because the values are nonproportional.

Answer 1

The table represents a direct variation because the values are proportional. Each pair has y/x = 1/4 (1/4, 1.5/6, 2.5/10, 5/20 = 0.25), so y = (1/4)x.