Question

Which table shows a proportional relationship between a and b? a b 3 9 4 12 5 20 a b 20 25 24 30 32 40 a b 4 12 5 15 6 24 a b 3 4 6 9 12 16

Answer 1

When the second number is divided by the first, the result is ...

First table
   9/3 = 3
   12/4 = 3
   20/5 = 4 . . . . result is not consistent. NOT a proportional relationship

Second table
   25/20 = 1.25
   30/24 = 1.25
   40/32 = 1.25 . . . . result is consistent. A PROPORTIONAL RELATIONSHIP

Third table
   12/4 = 3
   15/5 = 3
   24/6 = 4 . . . . result is not consistent. NOT a proportional relationship

Fourth table
   4/3 ≈ 1.33
   9/6 = 1.5
   16/12 ≈ 1.33 . . . . result is not consistent. NOT a proportional relationship