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Understanding Exponential Growth and Decay Functions in Real-World Scenarios

This lesson provides a comprehensive review of exponential growth and decay functions, focusing on how to model situations of percentage increase and decrease. You will learn to interpret percentages as growth or decay factors and apply these concepts to various examples, such as the doubling population of a bacterial species each week. The lesson encourages practical applications, including calculation exercises with initial values and growth factors.

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Understanding Exponential Growth and Decay Functions in Real-World Scenarios

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  1. Review: exponential growth and Decay functions

  2. In this lesson, you will review how to write an exponential growth and decay function modeling a percent of increase situation or decrease situation by interpreting the percent of increase as a growth factor or percent of decrease as a decay factor.

  3. Review: exponential growth functions Exponential growth happens by repeated multiplication by the same number.

  4. Review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory.

  5. Review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory.

  6. review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory.

  7. review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory.

  8. review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory.

  9. review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory.

  10. review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory.

  11. review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory.

  12. review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory.

  13. review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory.

  14. Review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. The growth factor is 2.

  15. review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimens of this bacteria.

  16. review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimensof this bacteria.

  17. review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimensof this bacteria.

  18. review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimensof this bacteria.

  19. review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimensof this bacteria.

  20. review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimensof this bacteria.

  21. review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimensof this bacteria. The initial value is 25.

  22. review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimensof this bacteria.

  23. review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimensof this bacteria. Let x = number of time periods since growth began

  24. review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimensof this bacteria. Let x = number of time periods since growth began Let y = amount of the growing quantity

  25. review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimensof this bacteria. Let x = number of time periods since growth began Let y = amount of the growing quantity

  26. review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimensof this bacteria. Let x = number of time periods since growth began Let y = amount of the growing quantity

  27. review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimensof this bacteria. Let x = number of time periods since growth began Let y = amount of the growing quantity initial value growth factor

  28. review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimensof this bacteria. Let x = number of time periods since growth began Let y = amount of the growing quantity initial value growth factor

  29. review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimensof this bacteria. Let x = number of time periods since growth began Let y = amount of the growing quantity initial value 2

  30. review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimensof this bacteria. Let x = number of time periods since growth began Let y = amount of the growing quantity initial value 2

  31. review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimensof this bacteria. Let x = number of time periods since growth began Let y = amount of the growing quantity 2 25

  32. review: exponential growth functions A certain species of bacteria will double in population each week in a laboratory. Suppose you initially have 25 specimens of this bacteria. Let x = number of time periods since growth began Let y = amount of the growing quantity

  33. interpreting a percent of increase as a growth factor

  34. interpreting a percent of increase as a growth factor The amount of money in your savings account increased by 3% last year.

  35. interpreting a percent of increase as a growth factor The amount of money in your savings account increased by 3% last year. What does it mean to grow by 3%?

  36. interpreting a percent of increase as a growth factor The amount of money in your savings account increased by 3% last year. What does it mean to grow by 3%?

  37. interpreting a percent of increase as a growth factor The amount of money in your savings account increased by 3% last year. What does it mean to grow by 3%?

  38. interpreting a percent of increase as a growth factor The amount of money in your savings account increased by 3% last year. What does it mean to grow by 3%?

  39. interpreting a percent of increase as a growth factor The amount of money in your savings account increased by 3% last year. What does it mean to grow by 3%?

  40. interpreting a percent of increase as a growth factor The amount of money in your savings account increased by 3% last year. What does it mean to grow by 3%?

  41. interpreting a percent of increase as a growth factor The amount of money in your savings account increased by 3% last year. What does it mean to grow by 3%?

  42. interpreting a percent of increase as a growth factor The amount of money in your savings account increased by 3% last year. What does it mean to grow by 3%?

  43. interpreting a percent of increase as a growth factor The amount of money in your savings account increased by 3% last year. What does it mean to grow by 3%?

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