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A certain area can support 124 deer. Initially, there were 2 deer in the area, and the number has been growing at an average rate of 10% per month. Approximately how long will it take for the deer to have a population of 76, assuming logistic growth

Answer :

Mhanifago

Answer:

  • ≈ 38.16 months

Step-by-step explanation:

  • Initial number of deer = 2
  • Growth rate is 1.1 times as 100% + 10% = 110% = 1.1
  • Target number is 76.

The equation of the growth is:

  • d(n) = 2*1.1^n

Since the target number is 76 we get:

  • 2*1.1^n = 76
  • 1.1^n = 38
  • log 1.1^n = log 38
  • n = log 38/log 1.1
  • n ≈ 38.16

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