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Section 5.6

Section 5.6. Resource Management. Examples. 0 of 30. I see how the fish animation is an example of recursion. Absolutely Sort of Not a clue. Explain:. Fish Population. -. +. =. 1500. 700 at end of last year. 40% of fish last year. Fish this year. ?. Fish last year. 1 of 30.

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Section 5.6

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  1. Section 5.6 Resource Management Examples

  2. 0 of 30 I see how the fish animation is an example of recursion • Absolutely • Sort of • Not a clue Explain:

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

  4. 1 of 30 0 / 30 Which graph best describes the fish population “in the long run”? # Fish Years # Fish Years # Fish Years # Fish Years # Fish Years

  5. 1 of 30 ? - + … = 700 1500 40% fish last year of fish last year end of last year fish 2 years later • 1220 • 1600 • 1660 • 1696 • 1700

  6. 1 of 30 ? - + … = 1500 40% 700 fish last year of fish last year end of last year fish 20 years later • 0 • 1748 • 1749 • 1750 • 3500

  7. 1 of 30 - + … ? 3000 = 1000 50% fish last year of fish last year at end of last year fish in 20 years • 750 • 1400 • 1750 • 2000 • 2500

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

  9. 1 of 30 - + ? 500 … = 1000 50% fish last year of fish last year end of last year in the long run • 0 • 1,000 • 1,999 • 2,000 • 15,500

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

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

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

  13. 1 of 30 S = Stabilized populationP = Percentage removed in a yearR = Number Restocked at end of a year Which formula describes the relationship between S, P, and R? • a. • b. • c. • None of the above a. P*S = R b. P*R = S c. R*S = P

  14. 1 of 30 DEP Announces Deer Reduction at Bluff Point in Groton Deer Reduction • 3% • 27% • 33% • 48% ? - = + … 150 120 40 deer last year %of deer removed at end of year in the long run

  15. 1 of 30 Logging (1) - + … ? Trees last year = 12% of trees 10,000 • 120 trees • 800 trees • 1000 trees • 1200 trees • 1400 trees add in the long run

  16. 1 of 30 Logging (2) After 3 years a fire destroys half the forest. You continue to cut 12% of the trees annually. You add trees each year • 500 • 750 • 1,000 • 1,250 • 10,000 What will be the stabilizing value of the forest?

  17. 1 of 30 Henry is the sole inheritor of his father’s estate. He doesn’t 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. • $60,000 • $150,000 • $240,000 • $1,500,000 • $3,000,000 How much can Henry expect to receive “in the long run”?

  18. End of 5.6

  19. 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. Take out 50% Add 1000 Initial population 3000 2000 1500 500 Years

  22. Meta - Material

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