Question

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 1

Answer: 46 months

Explanation:

Answer 2

• ≈ 38.16 months

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