The following data represent the world population. An ecologist is interested in building a model that describes the world population.

Year ………………………….. Population (in Billions)

2001 ………………………………… 6.17

2002 ………………………………… 6.25

2003 ………………………………… 6.32

2004 ………………………………… 6.40

2005 ………………………………… 6.48

2006 ………………………………… 6.55

2007 ………………………………… 6.63

2008 ………………………………… 6.71

2009 ………………………………… 6.79

(a) Using a graphing utility, draw a scatter diagram of the data using years since 2000 as the independent variable and population as the dependent variable.

(b) Using a graphing utility, build a logistic model from the data.

(c) Using a graphing utility, draw the function found in part (b) on the scatter diagram.

(d) Based on the function found in part (b), what is the carrying capacity of the world?

(e) Use the function found in part (b) to predict the population of the world in 2015.

(f) When will world population be 10 billion?