1. 5.5 Resource Management Section 5.6 Resource Management Examples

2. 5.5 Resource Management 2 I see how the fish animation is an example of recursion 1.Absolutely 2.Sort of 3.Not a clue Explain: 0 of 30

3. 5.5 Resource Management 3 40% of fish last year 1500 -+ = 700 at end of last year ? Fish this year Fish last year Fish Population

4. 5.5 Resource Management 4 Which graph best describes the fish population in the long run? 1. 2. 3. 4. 5. # Fish Years # Fish Years # Fish Years # Fish Years # Fish Years

5. 5.5 Resource Management 5 1. 1220 2. 1600 3. 1660 4. 1696 5. 1700 40% 1500 - += 700 ? fish 2 years later fish last year … of fish last year end of last year

6. 5.5 Resource Management 6 1. 0 2. 1748 3. 1749 4. 1750 5. 3500 40%1500 - += 700 ? fish 20 years later fish last year … of fish last year end of last year

7. 5.5 Resource Management 7 1. 750 2. 1400 3. 1750 4. 2000 5. 2500 50% 3000 - + = 1000 ? fish in 20 years fish last year … of fish last year at end of last year

8. 5.5 Resource Management 8 Rule 1 Populations of this sort. We call this number the. of the population

9. 5.5 Resource Management 9 1. 0 2. 1,000 3. 1,999 4. 2,000 5. 15,500 50% 500 - + = 1000 ? in the long run fish last year … of fish last year end of last year

10. 5.5 Resource Management 10 Rule 2 If you change only the, the population always.. Graphs

11. 5.5 Resource Management 11 % taken out Population now - + = Number added This is irrelevant Population next year

12. 5.5 Resource Management 12 Comparison of Models Compound interest and retirement funds: exponential. Paying credit cards: exponential. Resource management:.

13. 5.5 Resource Management 13 S = Stabilized population P = Percentage removed in a year R = Number Restocked at end of a year 1. a. 2. b. 3. c. 4. None of the above Which formula describes the relationship between S, P, and R? a. P*S = R b. P*R = S c. R*S = P

14. 5.5 Resource Management 14 Deer Reduction 1. 3% 2. 27% 3. 33% 4. 48% DEP Announces Deer Reduction at Bluff Point in Groton 150 - + ? deer last year = 40 120 … % of deer removed at end of year in the long run

15. 5.5 Resource Management 15 Logging (1) 1. 120 trees 2. 800 trees 3. 1000 trees 4. 1200 trees 5. 1400 trees 12% of trees - + = ? 10,000 Trees last year add … in the long run

16. 5.5 Resource Management 16 Logging (2) 1. 500 2. 750 3. 1,000 4. 1,250 5. 10,000 After 3 years a fire destroys half the forest. You continue to cut 12% of the trees annually. You add trees each year What will be the stabilizing value of the forest?

17. 5.5 Resource Management 17 Henry is the sole inheritor of his fathers estate. He doesnt know its current value, but he does know that his father withdraws 20% of it annually. Then at the end of the year he adds $300,000 to the estate. 1. $60,000 2. $150,000 3. $240,000 4. $1,500,000 5. $3,000,000 How much can Henry expect to receive in the long run?

18. 5.5 Resource Management End of 5.6

19. 5.5 Resource Management 19 Resource Management

20. 5.5 Resource Management 20 Fish Population Fish now = + - Fish at start of last year 40% of fish during last year 700 at end of last year Game Warden

21. 5.5 Resource Management 21 Years Initial population 2000 500 3000 1500 Take out 50% Add 1000

22. 5.5 Resource Management Meta - Material