Advanced MathHardPopulation from a model with a halved exponent
Advanced Math practice question
A population is modelled by P(t) = 200·3^(t/2), where t is the number of years after 2020. What does the model give for the population in 2024?
Answer: 1800
t = 4, so P = 200 × 3² = 1,800.
Common wrong answers
- If you answered 600
- 600 uses 3¹.
- If you answered 800
- 800 multiplies 200 by 4.
- If you answered 16200
- 16200 uses 3⁴, forgetting to halve the exponent.
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