Question
The following table gives the population of the United States for the years 1900-2000.\begin{tabular}{c|cccccc} year & 1900 & 1920 & 1940 & 1960 & 1980 & 2000 \\\hline population - in millions & 76 & 106 & 132 & 181 & 227 & 282\end{tabular}(a) Use an exponential growth model of the form $y=c e^{a t}$ to predict the population in 2020,2050 , and 3000 . (b) The actual population for the year 2020 has recently been estimated to be 334 million. How does this affect your predictions for 2050 and 3000 ?
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We use the model \( y = c e^{at} \), where \( y \) is the population in millions, \( t \) is the time in years, \( c \) is the initial population, and \( a \) is the growth rate. Show more…
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The table gives the population of the United States, in millions, for the years 1900-2000. (a) Use the exponential model and the census figures for 1900 and 1910 to predict the population in 2000. (Round your answer to the nearest million.) (b) Use the exponential model and the census figures for 1960 and 1970 to predict the population in 2000. Compare with the actual population. Then use this model to predict the population for the years 2010 and 2020. (Round your answers to the nearest million.)
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