Which pair of sets of tables represent a function that has linear (constant) rate of change?

a. a and c

b. a and d

c. b and c

d. b and d

e. c and d

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  B.  A and D

Step-by-step explanation:

In each of the tables, the x-values differ by 1. So, a linear relation will have the y-values differ by a constant amount. We observe the differences to be ...

  A: 3, 3, 3 . . . . a constant, so this function is linear

  B: 1, 3, 5 . . . . not a constant; non-linear

  C: 1, -6, 13 . . . not a constant; non-linear

  D; 0, 0, 0 . . . a constant, so this function is linear

Tables A and D represent linear functions.