Jean is going on a one year expedition to study the population growth of a gaggle of Canadian geese. There are 1,000 geese in the gaggle at the beginning of the first year. The gaggle grows each year with the following characteristics:

a. There is an equal number of male and female geese that form couples.

b. The couples raise one gosling every spring.

c. At the end of each year, 20% of the geese die of natural causes.

d. One-year-old geese raise goslings as well.

Develop a formula to calculate the number of geese after 7 years. Write your answer and show your work.

xxJenny1213xx Mar 8, 2021

#1**+1 **

original number 1000

increase 50% per year

1000 (1.5)

decrease 20% per year

1000 (1.5)(.8)

#geese = 1000 (1.2)^{n} where n is year

After year one there is 1200 after year 2 there is 1440 etc

When n = 7 # geese = 3583

ElectricPavlov Mar 8, 2021