1. Exponential Growth & Decay

2. Exponential Growth & Decay Growth and decay is proportional to population.

3. Exponential Growth & Decay Growth and decay is proportional to population.

4. Exponential Growth & Decay Growth and decay is proportional to population.

5. Exponential Growth & Decay Growth and decay is proportional to population.

6. Exponential Growth & Decay Growth and decay is proportional to population.

7. Exponential Growth & Decay Growth and decay is proportional to population.

8. Exponential Growth & Decay Growth and decay is proportional to population.

9. Exponential Growth & Decay Growth and decay is proportional to population.

10. Exponential Growth & Decay Growth and decay is proportional to population.

11. Exponential Growth & Decay Growth and decay is proportional to population.

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. e.g.( i ) The growth rate per hour of a population of bacteria is 10% of the population. The initial population is 1000000

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. e.g.( i ) The growth rate per hour of a population of bacteria is 10% of the population. The initial population is 1000000

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. e.g.( i ) The growth rate per hour of a population of bacteria is 10% of the population. The initial population is 1000000

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. e.g.( i ) The growth rate per hour of a population of bacteria is 10% of the population. The initial population is 1000000

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. e.g.( i ) The growth rate per hour of a population of bacteria is 10% of the population. The initial population is 1000000

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. ( 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. ( 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. ( 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. ( 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. ( 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. ( 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. ( 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. ( 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. b) In how many years will the population be half that in 1960?

32. b) In how many years will the population be half that in 1960?

33. b) In how many years will the population be half that in 1960?

34. b) In how many years will the population be half that in 1960?

35. b) In how many years will the population be half that in 1960?

36. Exercise 7G; 2, 3, 7, 9, 11, 12 b) In how many years will the population be half that in 1960?