Real GDP per capita in the U.S. grew from about​ $6,000 in the year 1900 to about​ $51,500 in​ 2016, an average growth rate of​ 1.9%. If the U.S. economy continues to grow at this​ rate, how many years will it take for real GDP per capita to​ double? If the U.S. government is able to stimulate the economy such that real GDP grows at a rate of​ 2.2%, how many fewer years would it take for real GDP per capita to double at this higher​ rate?