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Problem-Solving and Data AnalysisEasy–MediumModel from a table of plant heights

Problem-Solving and Data Analysis practice question

A plant's height was recorded each week: 4 cm at week 0, 7 cm at week 1, 10 cm at week 2, and 13 cm at week 3. Which equation best models the height h, in centimetres, after w weeks?

  1. A. h = 4 + 3wCorrect
  2. B. h = 3 + 4w
  3. C. h = 4(3ʷ)
  4. D. h = 4 + 3w²

Answer: A. h = 4 + 3w

The height starts at 4 and rises by a constant 3 each week.

Why the other answers are wrong

B. h = 3 + 4w
This starts at 3 and rises by 4.
C. h = 4(3ʷ)
Exponential growth would triple the height each week.
D. h = 4 + 3w²
A squared term would make the weekly increases grow.

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