Population Statistics The table shows the life expectancies of a child (at birth) in the

Chapter 1, Problem 75

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Population Statistics The table shows the life expectancies of a child (at birth) in the United States for selected years from 1920 to 2000. (Source: U.S. National Center for Health Statistics) A model for the life expectancy during this period is where represents the life expectancy and is the time in years, with corresponding to 1920. (a) Sketch a scatter plot of the data. (b) Graph the model for the data and compare the scatter plot and the graph. (c) Determine the life expectancy in 1948 both graphically and algebraically. (d) Use the graph of the model to estimate the life expectancies of a child for the years 2005 and 2010. (e) Do you think this model can be used to predict the life expectancy of a child 50 years from now? Explain.