The following table gives the projected population, in thousands, of Americans over 100 years of age. (a)

Question:

The following table gives the projected population, in thousands, of Americans over 100 years of age.
(a) Create an exponential function that models this population as a function of the number of years past 2010.
(b) According to this model, what is the projected population of centenarians in 2052?
(c) When will this population reach 1,030,000 according to this model?

Population (1000s) Population (1000s) Year Year 2015 78 2040 230 2020 106 2045 310 2025 143 2050 442 2030 168 2055 564 2035 188 2060 690