2 In an ant colony, there are different types of ants, one type being the workers. Suppose that the number of worker ants in a colony scales as Nº, where N is the total number of ants in the colony. For what values of the exponent a does this scaling law imply an upper bound on the admissible values of N? (Suppose that the scaling law is valid for all admissible values of N.) 1. There is no upper bound for any a 2. a>0 3. a < 0 4. a > 1

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2 In an ant colony, there are different types of ants, one type being the workers. Suppose that the
number of worker ants in a colony scales as Nº, where N is the total number of ants in the colony.
For what values of the exponent a does this scaling law imply an upper bound on the admissible
values of N? (Suppose that the scaling law is valid for all admissible values of N.)
1. There is no upper bound for any a
2. a>0
3. a < 0
4. a > 1
Transcribed Image Text:2 In an ant colony, there are different types of ants, one type being the workers. Suppose that the number of worker ants in a colony scales as Nº, where N is the total number of ants in the colony. For what values of the exponent a does this scaling law imply an upper bound on the admissible values of N? (Suppose that the scaling law is valid for all admissible values of N.) 1. There is no upper bound for any a 2. a>0 3. a < 0 4. a > 1
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