The population of a certain country was approximately 100 million in 1900, 175 million in 1950, and 350 million in 2000. Construct a model for this data by finding a quadratic equation whose graph passes through the points (0,100), (50,175), and (100,350). Use this model to estimate the population in 2050.

Let x be the number of years since 1900 and y be the population in millions.

y = _______

(Use integers or decimals for any numbers in the expression.)

According to the model, what will the population be in the year 2050?

y=_____

million