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30 votes
The doubling time of a population of flies is 8 hours. By what factor does the population increase in 34 ​hours? By what factor does the population increase in 1 week ​?

User Zoonman
by
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1 Answer

13 votes
13 votes

Answer:

  • 19.017 in 34 hours
  • 2,097,152 in 1 week

Explanation:

An exponent is used to signify repeated multiplication. When the population doubles, it is multiplied by 2. The number of times the population has doubled will be an exponent of 2.

a)

In 34 hours, the population will have doubled 34/8 = 4.25 times. The multiplier is 2 with an exponent of 4.25:

factor = 2^4.25 ≈ 19.027

__

b)

The population will double 24/8 = 3 times each day. After 7 days, the population will have doubled 7×3 = 21 times. The multiplication factor is ...

factor = 2^21 = 2,097,152

User Cwhelms
by
2.9k points
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