The table gives the population of a country, in millions, for the years 1900-201

Question

The table gives the population of a country, in millions, for the years 1900-2010. Use a graphing calculator with exponential regression capability to model the population (in millions) since 1900. (Let t represent the number of years since 1900. Round your coefficients to five decimal places.) P = Use the model to estimate the population in 1925. (Round your answer to the nearest whole number.) million people Predict the population in the year 2020. (Round your answer to the nearest whole number.) million people

Explanation / Answer

The way this works is you have to frame y=ae^(xt) Where y is the number of people. a is the co-efficient of the exponential and t is the time. Take any two points, 76= ae^(x0)= This shows a=76 94= 76e^(x*10) x= ln(94/76)/10 =.0212 1925 76e^(.0212*25)=129 2020 76e^(.0212*125)=1075.7=1076

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