Advanced MathEasy–MediumEvaluating exponential growth in context
Advanced Math practice question
A culture's population is modeled by P(t) = 500 · 3ᵗ, with t in days. What is the population at t = 2?
Answer: 4500
P(2) = 500 · 3² = 500 · 9 = 4500.
Common wrong answers
- If you answered 1500
- 1500 is P(1); the model asks for day 2.
- If you answered 3000
- 3² = 9, not 6: the population triples each day, twice over.
- If you answered 9000
- 500 · 9 = 4500; doubling 4500 would be a day too far.
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