AlgebraEasy–MediumRecognising a linear function's constant rate
Algebra practice question
Which of the following tables could represent a linear function?
- A. x: 1, 2, 3, 4 — y: 5, 8, 11, 14Correct
- B. x: 1, 2, 3, 4 — y: 1, 4, 9, 16
- C. x: 1, 2, 3, 4 — y: 2, 4, 8, 16
- D. x: 1, 2, 3, 4 — y: 10, 8, 7, 5
Answer: A. x: 1, 2, 3, 4 — y: 5, 8, 11, 14
A linear function changes by the same amount for each unit step in x. Table A rises by 3 each step.
Why the other answers are wrong
- B. x: 1, 2, 3, 4 — y: 1, 4, 9, 16
- Rises by 3, 5, 7 — the squares, not linear.
- C. x: 1, 2, 3, 4 — y: 2, 4, 8, 16
- Doubles each step — exponential.
- D. x: 1, 2, 3, 4 — y: 10, 8, 7, 5
- Falls by 2, 1, 2 — not constant.
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