Problem-Solving and Data AnalysisEasy–MediumEquation matching a table
Problem-Solving and Data Analysis practice question
x | y
1 | 5
2 | 8
3 | 11
4 | 14
Which equation describes the relationship between x and y shown in the table?
- A. y = 3x + 2Correct
- B. y = 2x + 3
- C. y = 5x
- D. y = x + 4
Answer: A. y = 3x + 2
y rises by 3 each time x rises by 1, so the slope is 3; when x = 1, y = 5 = 3(1) + 2. So y = 3x + 2. Check x = 4: 12 + 2 = 14.
Why the other answers are wrong
- B. y = 2x + 3
- 2x + 3 gives 5 at x = 1 but 7 at x = 2, not 8.
- C. y = 5x
- 5x gives 5 at x = 1 but 10 at x = 2, not 8.
- D. y = x + 4
- x + 4 gives 5 at x = 1 but 6 at x = 2, not 8.
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