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Algebra II Task: Culture Shock

Algebra II Task: Culture Shock

Activity/Task Variations

Differentiation suggestions: 

If students can’t get started….

  • Do you see any patterns in the table? How can the patterns help you with finding a formula?
Extension suggestions: 

If students finish early….

  • What effect does the initial population of each culture have on how long it takes the population of culture B to exceed the population of culture A?
  • Suppose the initial population of culture B was 5, and the growth rate was the same. What effect would this have on your calculations in parts (c) and (d)? Why?

OR

  • Suppose you have a culture C with the populations given in the table below:
  • Compare the growth of culture A and culture B with culture C.
  • What can you tell me about how these populations compare? Will
  • the population of culture A and/or culture B ever pass the population of culture C? Why or why not?