1. The problem statement, all variables and given/known data The problem involves a population in a country: year 1930 1940 1950 1960 1970 Pop 1.0 1.2 1.6 2.8 5.4 (millions) Part A involved finding the population in 1920 using Newton Divided Differences Interpolation (SOLVED) Part B requires finding the year when the population is 60.4 million. I went through the method below but apparently there is any easier more accurate way (not using a calculator). Please help. 2. Relevant equations The equation for the population is: y = 0.0001x^3 - 0.581x^2 + 1125.22x - 726412.4 3. The attempt at a solution For part B I used Newtons formula and a divided differences table Substitute in values using interpolation formula x = g(y0) + (y-y0)g(y0y1) + (y-y0)(y-y1)g(y0y1y2) Let y = 60.4 x = g(y0) + (60.4-y0)g(y0y1) + (60.4-y0)(60.4-y1)g(y0y1y2) let y0 = 50.5125, g(y0) = 2015 … x = 2015 + (60.4-50.5125)x0.447928331 + (60.4-50.5125)(60.4-84)x-0.001538931 x = 2019.787993 This is an approximation. The actual year is 2020.