Problem-Solving and Data AnalysisVery hardPrediction from a doubling model
Problem-Solving and Data Analysis practice question
The population of a colony of bats is modelled by P(t) = 50 · 2^(t/5), where t is the number of years after the colony was first counted. According to the model, what is the population 15 years after the first count?
Answer: 400
2^(15/5) = 2³ = 8, and 50 × 8 = 400.
Common wrong answers
- If you answered 150
- 150 adds 50 to 100, as if growth were linear.
- If you answered 200
- 200 uses 2² instead of 2³.
- If you answered 800
- 800 uses 2⁴.
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