Advanced MathEasy–MediumChoosing the exponential growth model
Advanced Math practice question
A colony of 80 bacteria doubles every 3 hours. Which function gives the population P after t hours?
- A. P(t) = 80(2)^(t/3)Correct
- B. P(t) = 80(2)ᵗ
- C. P(t) = 80 + 2t/3
- D. P(t) = 80(3)^(t/2)
Answer: A. P(t) = 80(2)^(t/3)
Doubling every 3 hours: the exponent t/3 counts the doublings.
Why the other answers are wrong
- B. P(t) = 80(2)ᵗ
- (2)ᵗ doubles every hour.
- C. P(t) = 80 + 2t/3
- Linear, not doubling.
- D. P(t) = 80(3)^(t/2)
- A base of 3 triples.
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