Problem-Solving and Data AnalysisVery hardExtending an exponential pattern
Problem-Solving and Data Analysis practice question
The table shows the number of infected plants y in a greenhouse t weeks after a fungus was first found. t | y 0 | 3 1 | 6 2 | 12 3 | 24 If the pattern continues, how many plants will be infected at t = 5?
Answer: 96
y doubles each week: y = 3·2ᵗ. At t = 5, y = 3(32) = 96.
Common wrong answers
- If you answered 30
- 30 assumes a constant increase of 6 from t = 3 onwards, using the wrong difference.
- If you answered 36
- 36 extends the pattern linearly by the last difference of 12 (24 + 12).
- If you answered 48
- 48 is the value at t = 4.
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