9
algebra

Which table of values represents a linear function?

A

x: 1, 2, 3, 4; y: 5, 7, 9, 11

B

x: 1, 2, 3, 4; y: 5, 10, 20, 40

C

x: 1, 2, 3, 4; y: 1, 4, 9, 16

D

x: 1, 2, 3, 4; y: 5, 4, 2, -1

Correct Answer: A

Choice A is the correct answer. Check for a constant rate of change.

  1. Check A: As xx goes up by 1, yy goes up by 2 (75=2,97=2,119=27-5=2, 9-7=2, 11-9=2). Constant rate \rightarrow Linear.
  2. Check B: yy doubles (Exponential).
  3. Check C: Differences are 3, 5, 7 (Quadratic).
  4. Check D: Differences are -1, -2, -3 (Not constant).

💡 Strategic Tip: In a linear table, the first differences of yy are constant (for equal x-steps).

Choice B is incorrect (Exponential).Choice C is incorrect (Quadratic).Choice D is incorrect.