12 X1 T04 04 Growth and Decay (2010)

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  • by the way sir, at 09:09 you made a mistake, k actually equals to
    -0.0138, not -0.0318, you mistook 13 as 31 and so the growth rate would actually be negative 1 percent.
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12 X1 T04 04 Growth and Decay (2010)

  1. 1. Exponential Growth & Decay
  2. 2. Exponential Growth & Decay Growth and decay is proportional to population.
  3. 3. Exponential Growth & Decay Growth and decay is proportional to population.
  4. 4. Exponential Growth & Decay Growth and decay is proportional to population.
  5. 5. Exponential Growth & Decay Growth and decay is proportional to population.
  6. 6. Exponential Growth & Decay Growth and decay is proportional to population.
  7. 7. Exponential Growth & Decay Growth and decay is proportional to population.
  8. 8. Exponential Growth & Decay Growth and decay is proportional to population.
  9. 9. Exponential Growth & Decay Growth and decay is proportional to population.
  10. 10. Exponential Growth & Decay Growth and decay is proportional to population.
  11. 11. Exponential Growth & Decay Growth and decay is proportional to population.
  12. 12. Exponential Growth & Decay Growth and decay is proportional to population. P = population at time t A = initial population k = growth(or decay) constant t = time
  13. 13. e.g.( i ) The growth rate per hour of a population of bacteria is 10% of the population. The initial population is 1000000
  14. 14. e.g.( i ) The growth rate per hour of a population of bacteria is 10% of the population. The initial population is 1000000
  15. 15. e.g.( i ) The growth rate per hour of a population of bacteria is 10% of the population. The initial population is 1000000
  16. 16. e.g.( i ) The growth rate per hour of a population of bacteria is 10% of the population. The initial population is 1000000
  17. 17. e.g.( i ) The growth rate per hour of a population of bacteria is 10% of the population. The initial population is 1000000
  18. 18. e.g.( i ) The growth rate per hour of a population of bacteria is 10% of the population. The initial population is 1000000
  19. 19. e.g.( i ) The growth rate per hour of a population of bacteria is 10% of the population. The initial population is 1000000
  20. 20. e.g.( i ) The growth rate per hour of a population of bacteria is 10% of the population. The initial population is 1000000
  21. 21. e.g.( i ) The growth rate per hour of a population of bacteria is 10% of the population. The initial population is 1000000
  22. 22. ( ii ) On an island, the population in 1960 was 1732 and in 1970 it was 1260. a) Find the annual growth rate to the nearest %, assuming it is proportional to population.
  23. 23. ( ii ) On an island, the population in 1960 was 1732 and in 1970 it was 1260. a) Find the annual growth rate to the nearest %, assuming it is proportional to population.
  24. 24. ( ii ) On an island, the population in 1960 was 1732 and in 1970 it was 1260. a) Find the annual growth rate to the nearest %, assuming it is proportional to population.
  25. 25. ( ii ) On an island, the population in 1960 was 1732 and in 1970 it was 1260. a) Find the annual growth rate to the nearest %, assuming it is proportional to population.
  26. 26. ( ii ) On an island, the population in 1960 was 1732 and in 1970 it was 1260. a) Find the annual growth rate to the nearest %, assuming it is proportional to population.
  27. 27. ( ii ) On an island, the population in 1960 was 1732 and in 1970 it was 1260. a) Find the annual growth rate to the nearest %, assuming it is proportional to population.
  28. 28. ( ii ) On an island, the population in 1960 was 1732 and in 1970 it was 1260. a) Find the annual growth rate to the nearest %, assuming it is proportional to population.
  29. 29. ( ii ) On an island, the population in 1960 was 1732 and in 1970 it was 1260. a) Find the annual growth rate to the nearest %, assuming it is proportional to population.
  30. 30. ( ii ) On an island, the population in 1960 was 1732 and in 1970 it was 1260. a) Find the annual growth rate to the nearest %, assuming it is proportional to population.
  31. 31. b) In how many years will the population be half that in 1960?
  32. 32. b) In how many years will the population be half that in 1960?
  33. 33. b) In how many years will the population be half that in 1960?
  34. 34. b) In how many years will the population be half that in 1960?
  35. 35. b) In how many years will the population be half that in 1960?
  36. 36. Exercise 7G; 2, 3, 7, 9, 11, 12 b) In how many years will the population be half that in 1960?

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