9
algebraWhich 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.
- Check A: As goes up by 1, goes up by 2 (). Constant rate Linear.
- Check B: doubles (Exponential).
- Check C: Differences are 3, 5, 7 (Quadratic).
- Check D: Differences are -1, -2, -3 (Not constant).
💡 Strategic Tip: In a linear table, the first differences of are constant (for equal x-steps).
Choice B is incorrect (Exponential).Choice C is incorrect (Quadratic).Choice D is incorrect.