Advanced MathVery hardDoubling model with a scaled exponent
Advanced Math practice question
A colony's size after t days is modelled by N(t) = 100·2^(t/3). After how many days will the colony have 800 members?
Answer: 9
2^(t/3) = 8 = 2³, so t/3 = 3 and t = 9.
Common wrong answers
- If you answered 3
- 3 is t/3, not t.
- If you answered 8
- 8 is the factor of growth.
- If you answered 24
- 24 multiplies 8 by 3.
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