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Algebra 1

Open-ended Modeling with Data Investigation

Algebra 1Open-ended Modeling with Data Investigation
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A world map at night showing continents with illuminated areas representing city lights, highlighting population centers in North America, Europe, India, and eastern Asia, while other regions are mostly dark.
year 1804 1927 1960 1974 1987 1999 2011
world population in billions 1 2 3 4 5 6 7
  1. Would a linear function be appropriate for modeling the world population growth over the last 200 years? Explain. If you think it is appropriate, find a linear model.
  2. Would an exponential function be appropriate for modeling the world population growth over the last 200 years? Explain. If you think it is appropriate, find an exponential model.
  3. From 1950 to the present day, by about what percentage has the world population grown each year?
  4. From 1950 to the present day, by about how many people has the world population grown each year?
  5. If the growth trend continues, what will the world population be in 2050? How long do you think the growth will continue? Be prepared to show your reasoning using graphic displays that support your arguments..
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