Problem-Solving and Data AnalysisHardExtending a doubling pattern
Problem-Solving and Data Analysis practice question
x | y
0 | 4
3 | 8
6 | 16
According to the table, y doubles each time x increases by 3. What is the value of y when x = 9?
Answer: 32
From x = 0 to x = 9 there are three increases of 3, so y doubles three times: 4 → 8 → 16 → 32.
Common wrong answers
- If you answered 16
- 16 is y at x = 6, two doublings. Three increases of 3 take x from 0 to 9.
- If you answered 28
- 28 is 4 + 8 × 3, treating the pattern as adding 8 each step. The table shows multiplying by 2, not adding.
- If you answered 64
- 64 is four doublings, which would be x = 12.
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