Problem-Solving and Data AnalysisMediumHeight gain from a linear model
Problem-Solving and Data Analysis practice question
The model h = 2.4a + 50 gives the height h, in centimetres, of a certain kind of shrub at age a years. According to the model, by how many centimetres does the shrub's height increase over any 5-year period?
Answer: 12
Height rises 2.4 cm per year, so over 5 years it rises 2.4 × 5 = 12 cm.
Common wrong answers
- If you answered 50
- 50 is the height at age 0.
- If you answered 62
- 62 is the height at age 5, not the increase.
- If you answered 2.4
- 2.4 is the increase over one year.
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