The U.S. population in selected years between 1815 and 1965 is listed in the table below. Determine a quadratic equation in the form P = a2t2 + at1 + a0, where t is the number of years after 1800 and P is the population in millions, that best fits the data. Use the equation to estimate the population in 1915 (the population was 98.8 millions). Make a plot of the population versus the year that shows the data points and the equation.

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Year Population (millions) 18151845 8.3 1875 19051935 1965 19.7 44.4 83.2 127.190.9