Total personal income of the country​ (in billions of​ dollars) for selected years from 19601960 to 20052005 is given in the table.
​(a) These data can be modeled by an exponential function. Write the equation of this​ function, with x as the number of years after 19601960.
​(b) If this model is​ accurate, what will be the​ country's total personal income in 20102010​?
​(c) In what year does the model predict the total personal income will reach ​$2222 ​trillion?
Year
Personal Income
19601960
412.7412.7
19701970
837.2837.2
19801980
2310.72310.7
19901990
4880.64880.6
20002000
8422.28422.2
20052005
10 comma 235.810,235.8