The table below shows the U.S. population (measured in millions) for various years.

Years after 1800                          Population in Million

0                                                                   3.92

10                                                                 6.99

20                                                                 9.87

30                                                                 11.07

40                                                                 18.57

50                                                                  26.89                          

60                                                                  37.07

10 years after 1800, for example, would be the year 1810.

(a) Copy and past the table into Google Sheets or Excel. Find an exponential model with base e for this data.

(b) Use your model to predict the population of the U.S. in 2020. 

(c) Based on your model, how many years after 1800 would it take before the population in the U.S reached 841 million people?