This exercise uses the population growth model. A grey squirrel population was i

Question

This exercise uses the population growth model. A grey squirrel population was introduced in a certain county of Great Britain 40 years ago. Biologists observe that the population doubles every 8 years, and now the population is 120,000. (a) What was the initial size of the squirrel population? Squirrels (b) Estimate the squirrel population 10 years from now. (Round your answer to the nearest whole number.) squirrels (c) Sketch a graph of the squirrel population.(Assume t = 0 corresponds to the initial introduction.)

Explanation / Answer

After 40 yrs population of squirrel = 120,000

population doubles every 8 years

N= No(1+r)^t

2No = No(1+r)^8 ; 2 = (1+r)^8

r = 0.091

120,000 = No(1+0.091)^40

N0 =120,000/32.5829 = 3682.91

So, N = 3682.91(1.091)^t

a) after 10 yrs

N= 3682.91(1.091)^10 = 8799.11 = 8799 squirrels

b) Option b

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.