The exponential function n = 3.93 × 1.34d gives the approximate u.s. population, in millions, d decades after 1790. (the formula is valid only up to 1860.) (a) what is the yearly growth factor?
We have the following formula: n = 3.93 × 1.34 ^ d With the following variable: d= decades after 1790 The growth factor of the population for each decade is: k = 1.34 Which means that the population grows 34% every decade. For each year we have: 1.34 ^ (1/10) =1.03 The annual growth factor is: k = 1.03 Answer: the yearly growth factor is: k = 1.03
